{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "using QuantumBayesian\n",
    "using PyPlot"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Transmon Qubit and Resonator Test\n",
    "\n",
    "**Justin Dressel**, 12/8/2016 <br />\n",
    "*Institute for Quantum Studies, Chapman University*\n",
    "\n",
    "To benchmark performance for large qubit systems, we test the deterministic evolution of a transmon and resonator system subject to intrinsic (Markovian) resonator decay."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Transmon and Qubit Definitions"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Define a joint system of a transmon (with 5 energy levels) and a resonator (with 30 energy levels)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "QuantumBayesian.QSpace: Transmon ⊗ Resonator\n",
       "Dims  : (5,30)\n",
       "Ops   : \"ix\", \"un\", \"nu\", \"ui\", \"ii\", \"ud\", \"xd\", \"yn\", \"dy\", \"du\", \"dd\", \"yd\", \"nx\", \"ux\", \"yi\", \"id\", \"nn\", \"dx\", \"in\", \"iu\", \"xi\", \"nd\", \"xx\", \"dn\", \"ny\", \"yu\", \"yx\", \"di\", \"iy\", \"uu\", \"xy\", \"xu\", \"ni\", \"yy\", \"uy\", \"xn\"\n"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "q = osc(5, \"Transmon\");\n",
    "r = osc(30, \"Resonator\");\n",
    "s = q ⊗ r"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "For convenience, define a qubit matrix element `qel(i,j)`$ = \\lvert i\\rangle\\langle j\\rvert \\otimes \\mathbb{1}$:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "qel(i,j) = lift(s, q(i,j), 1);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Define the lowering operator for the resonator using standard notation, as well as the number operator."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "a = s(\"id\");\n",
    "n = a' * a;"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Define relevant constants typical of superconducting qubit experiments performed at UCSB [modeled after \"Qubit 1\" in Nature **519**, 66-69 (2015)]. The qubit frequency is defined by the different of the first two energy levels of the transmon: $\\omega_q = (E_1 - E_0)/\\hbar$. The anharmonicity is defined as the discrepancy in energy of the next pair: $\\eta = \\omega_q - (E_2 - E_1)/\\hbar$.  The approximate dispersive shift $\\chi$ and Lamb shift $\\lambda$ are computed in the Appendix of Physical Review A **92**, 012325 (2015):\n",
    "$$ \\begin{aligned}\n",
    "\\chi &= -\\frac{\\eta\\,g^2}{(\\omega_q - \\omega_r)^2} \\\\\n",
    "\\lambda &= -\\frac{g^2}{\\omega_q-\\omega_r}\n",
    "\\end{aligned} $$\n",
    "\n",
    "The needed drive amplitude is computed from the steady-state photon number $\\bar{n} = |\\alpha_{\\rm ss}|^2$, derived from the classical resonator equation: $$\\dot{\\alpha_{\\rm ss}} = -i(\\omega_r + \\lambda + \\chi - \\omega_d)\\,\\alpha_{\\rm ss} - (\\kappa/2)\\,\\alpha_{\\rm ss} - i \\varepsilon \\equiv 0$$."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "# Bare parameters\n",
    "ωq = (2π)*5.93             # qubit frequency (GHz): energy gap between |0⟩ and |1⟩ levels\n",
    "ωr = (2π)*6.626            # resonator frequency (GHz), detuned from the qubit frequency in dispersive regime\n",
    "η  = (2π)*0.216            # qubit anharmonicity  (GHz)\n",
    "g  = (2π)*0.128            # qubit-resonator coupling strength (GHz)\n",
    "ωd = ωr                    # microwave drive frequency\n",
    "κ  = (2π)/69               # resonator decay rate\n",
    "\n",
    "# Compute effective frequency shifts\n",
    "χ  = -η*g^2 / (ωq - ωr)^2  # resonator dispersive frequency shift: 2χ is net change in ωq\n",
    "λ  = -g^2 / (ωq - ωr)      # Lamb shift of resonator frequency\n",
    "ωreff = ωr + λ + χ         # effective (ground-state) resonator frequency including Lamb and dispersive shift\n",
    "\n",
    "# Set pump strength\n",
    "nmax = 4                   # target photon number at steady state\n",
    "ɛ  = sqrt(nmax*((ωreff-ωd)^2 + (κ/2)^2))  # microwave drive amplitude;"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Note that we working in the rotating frequency of the pump, which is set to the bare frequency of the resonator. However, the qubit-induced Lamb shift and dispersive shift of the resonator frequency will cause residual oscillations with the following period:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "61.5966796874981"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Effective residual resonator rotation period, expected (ns)\n",
    "(2π)/(ωreff - ωd)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The so-called \"critical photon number\" is the scale at which nonlinear effects should become relevant for the qubit-resonator evolution (i.e., when the qubit and resonator should hybridize appreciably)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "7.740450809750334"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "ncrit = (ωq - ωreff)^2 / (4g^2)   # photon number threshold before nonlinear effects should appear"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Define the Hamiltonian for coherent evolution:\n",
    "$$ \\begin{aligned}\n",
    "H_q &= \\sum_{k=0}^{d-1} \\left[k(\\omega_q - \\omega_d) - k(k-1)\\eta /2\\right]\\, \\lvert k \\rangle \\langle k\\rvert \\\\\n",
    "H_r &= (\\omega_r - \\omega_d)\\,a^\\dagger a \\\\\n",
    "H_p &= \\varepsilon(a + a^\\dagger) \\\\\n",
    "H_i &= g\\sum_{k=1}^{d-1}\\sqrt{k}\\left[a\\,\\lvert k \\rangle \\langle k-1\\rvert + a^\\dagger\\,\\lvert k-1 \\rangle \\langle k\\rvert \\right] \\\\\n",
    "H_{\\rm tot} &= H_q + H_r + H_p + H_i\n",
    "\\end{aligned}$$\n",
    "\n",
    "Also define the dissipative collapse operator for the resonator decay:\n",
    "$$ L_r = \\sqrt{\\frac{\\kappa}{2}}\\,a$$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "# Hamiltonian\n",
    "#  Qubit free evolution\n",
    "Hq = sum((k*(ωq - ωd) - k*(k+1)*η/2).*qel(k,k) for k in 0:(length(q)-1))\n",
    "#  Resonator free evolution\n",
    "Hr = (ωr - ωd).* n\n",
    "#  Microwave pump\n",
    "Hp = ɛ .* (a .+ a')\n",
    "#  Qubit-resonator interaction (Jaynes-Cummings-type interaction)\n",
    "Hint = sum((sqrt(k)*g).*(a * qel(k,k-1) + a' * qel(k-1,k)) for k in 1:(length(q)-1));\n",
    "#   Total Hamiltonian\n",
    "H = Hq + Hr + Hp + Hint;\n",
    "\n",
    "# Dissipative collapse operator (Lindblad Markovian decay)\n",
    "Lr = sqrt(κ/2).*a;"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Illustrate the banded structure of the Jaynes-Cummings coupling in the total Hamiltonian."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "collapsed": false,
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
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h5ZdfVvPmzTVx4kTvWFxcnCZMmKAtW7YEPK0OAABEjuONQk5Ojnr06KHk5GS/8TMvu5mTk+NEWQAAQA3g1SMLCgpsX4PdGGP7WtuFhYV666231Llz50b1qmEAADittLRU+/fv1/Dhw9W6deta5zreKJzra22/9dZbuu2228JaGwAA0WzNmjW69dZba53jeKNwrq+13blzZ0lSq6um6+Sut5Xykzt9O10hL7NBKtq8SimD7jz7xCjDeTctnHfTwnlHRtWxPB1/91Hv79LaON4opKen1xgvnO21ts80ECe/eFtV3+erePta7774Cy9XQrfLJanGlyuNFq7YRMW2uTCi77Oqssq73TzGmS8fJ867IeC8mxbOu2kJ53mf3L1JpXs2+Y2ZipOS7P8Yt3K8UcjMzNT777+vEydO+F3QGOxrbacMulPF29cqbcRs79jp06fDVi8AAI1JYvchSuw+xG+s4tu9KnxlRlDHO/7n9ujRo1VVVaUVK1Z4xyoqKvTss89q4MCB6tChg4PVAQDQtDm+ojBgwADddNNNuv/++3XkyBF169ZNzz77rA4cOKBVq1ad/Q383/UI1lUEa9xgN45zY40bKsorvNuxcbFOlAMACDPHGwVJ+stf/qI5c+ZozZo1OnbsmPr27asNGzZo8ODBQR2f0G3I2SdFIc67aeG8mxbOu2lpyOft+COcz9WOHTuUlZWl1jcuVmybC1lRcAArCgDQOJ25RmH79u3q169frXMbxIpCKATTHJw6dcrvmGbNmoW/sChmbQ7KS/1vcY1LCHw2BgCg8eFPbAAAYItGAQAA2Iqa6MHKLm6oHjXUtg91Uz1qKDtZ5t2OT4yPdDkAgBBhRQEAANiiUQAAALZoFAAAgK2ovEbBynrtQW23R3K9QmhZr0soLfG9VHhC0tlfgAQA0HCwogAAAGzRKAAAAFtRHz1YBXt7JDFEaFnjhpMnTnq3E5MTnSgHAFAHrCgAAABbNAoAAMBWk4oeqgsmbjhVZRlvTgxRX9a4oaS4xLud1CLJiXIAAGfBigIAALBFowAAAGw16ejBKpi4gRgitKxxQ0mRJYZIIYYAgIaCFQUAAGCLRgEAANgieqhBMHEDMURoWeOGE9+f8G4nt0x2ohwAwP9hRQEAANiiUQAAALaIHs6CGCLyrHFD8fFi73aLVi2cKAcAmjRWFAAAgC0aBQAAYIvooQ6CiRuqKqu8281j+PDWlzVuKDpW5N1OOS/FiXIAoMlhRQEAANiiUQAAALZYGz9HwcQNxBChZY0bijyWGCKVGAIAwoUVBQAAYItGAQAA2GI9PASCiRus49X3oe6scYM1hqi+DwBQP6woAAAAWzQKAADAFuvfIRbsXQ/cERE61aOG77/73rvdMq1lpMsBgKjCigIAALBFowAAAGzRKAAAAFuE42EU7O2RXK8QWtbrEo4XHvdut2rdyolyAKBRY0UBAADYolEAAAC2WOeOkGBvj6ysqPRux8TGhL+wKGeNG4ghAKDuWFEAAAC2aBQAAIAtogeHBBM3EEOEljVuOPbtMe/2eW3Oc6IcAGgUWFEAAAC2aBQAAIAtoocGIJi4gRgitKxxg+eox7ud2jbViXIAoMEK24rCtm3bNGXKFPXp00fJycnq1KmTxo4dq927dwfMzc3N1TXXXKMWLVooLS1N48ePV2FhYbhKAwAAQQrbisJDDz2kzZs366abblLfvn11+PBh/fnPf1a/fv30ySefqHfv3pKk/Px8DRkyROedd54efPBBFRcXa/Hixfrss8+0detWNW/OogcAAE4J22/h3/zmN/rrX//q94t+zJgx6tOnjx588EGtXr1akrRgwQKVlpYqJydHHTp0kCT1799fV199tZ599lndfffd4SqxQSKGiDxr3EAMAQD+whY9DBw4MGA1oFu3burTp4927drlHXv11Vd13XXXeZsESfrpT3+qHj16aN26deEqDwAABCHidz0cOXJErVu3liQdOnRIR48e1WWXXRYwb8CAAcrOzo50eQAAwCKiFwCsWbNG+fn5mj9/viSpoKBAkpSenh4wNz09XR6PR5WVlYqJaZrL68QQkecXQxyxxBDtiCEANE0RW1HIzc3VlClTNHjwYI0fP16SVFpaKkmKi4sLmB8fH+83BwAARF5EGoWjR4/q2muv1XnnnaeXXnpJLpdLkpSQkCBJKi8vDzimrKzMbw4AAIi8sEcPRUVFGj58uIqKivThhx+qffv23n1nIoczEYRVQUGBUlNTzxo7FG1eJVdsot9YQrchSuw+JATVNxzEEJFnjRuIIQA0Vid3b1Lpnk1+Y6biZNDHh7VRKC8v18iRI7Vnzx698847uuiii/z2Z2RkqE2bNtq2bVvAsVu3blVmZuZZ30fKoDsV2+bCkNUMAEA0Sewe+Mdzxbd7VfjKjKCOD1v0cPr0aY0ZM0Yff/yxXn75ZQ0YMKDGeTfeeKPefPNN5efne8feeecdffXVVxozZky4ygMAAEEI24rCvffeqzfeeEOjRo1SYWGhnn/+eb/9t956qyRp9uzZevnllzV06FBNnz5dxcXFWrJkiS655BL98pe/DFd5jVowcUNFeYXfMbFxseEvLIr5xRCH/R8vntq+daTLAYCICVuj8Omnn8rlcumNN97QG2+8EbD/TKNw/vnn64MPPtC9996r+++/X7Gxsbruuuu0ZMmSJntbJAAADUXYGoX33nsv6Lm9evXS3/72t3CVAgAAzhGvuNTI2cUN1aOG2vahbqpHDZ6Cb3370ttEuhwACKuIP8IZAAA0HjQKAADAFo0CAACwxTUKUcR67UFtt0dyvUJoWa9L4HoFANGGFQUAAGCLRgEAANgieohSwd4eSQwRWn4xxKEjvvGMdk6UAwD1xooCAACwRaMAAABsET00EcHEDcQQoWWNG4ghADRWrCgAAABbNAoAAMAW0UMTRAwReX4xRN5h3/j57Z0oBwCCxooCAACwRaMAAABsET00ccQQkWeNG4ghADR0rCgAAABbNAoAAMAW0QO8iBsizy+GOHjIN94xw4lyACAAKwoAAMAWjQIAALAVNdFDVWWVd7t5TNSclmPs4oZuPdp6t3d/6Xv9ApfLFfaaoh1xA4CGiBUFAABgi0YBAADYipo1emvcwBX74WONG7pf5Hv9gq9yD/vNc7vpQUPF+vUs8TUNILL4aQ4AAGzRKAAAAFtREz1YWZdmy0vLvdtxCXFOlBNVrHc3WOOGHj39X6fAuo8Yon6qRw1lJ8u82/GJ8ZEuB0ATw09wAABgi0YBAADYolEAAAC2ovIaBSvrdQnWbFci360v67UH1W+PtF6z8OWuAu92s2bNwl9YlLN+3Z48cdK7nZic6EQ5AKIcKwoAAMAWjQIAALAV9dGDVfWoobSk1LudkJQQ6XKiSvVbIK1xw0W90mscJ4aoP2vcUFJU4t1OSklyohwAUYgVBQAAYItGAQAA2GpS0UN11riBq8dDyxorEENEhjVuKD5e7N1u0aqFE+UAiBKsKAAAAFs0CgAAwFaTjh6s/K4eL7ZcPd6Cq8frixgi8qxxQ5GnyLudkpriRDkAGjFWFAAAgC0aBQAAYIvooQbWuIGH2IRWUDHEF5YYojkxRH1Z44bvv/veu90yraUT5QBoZFhRAAAAtmgUAACALaKHs7DGDSe+P+HdTm6Z7EQ5UcUvhrDEDRf1JoYIF2vccLzwuHe7VetWTpQDoBGI6IrC/Pnz5Xa71bdv34B9mzdv1uWXX66kpCSlp6dr+vTpKikpqeGtAACASIlYo5Cfn6+HHnpIycmBf4nn5ORo2LBhKisr09KlSzVx4kStWLFCY8aMiVR5AACgBhGLHn7zm99o4MCBqqqq0nfffee3b/bs2UpNTdUHH3ygpKQflvo7deqkSZMmaePGjRo2bFikyqyVNW7gWfqhZY0ViCEiwxo3eI56vNupbVOdKAdAAxWRFYV//vOfevXVV7V06dKAfcXFxdq4caNuv/12b5MgSePHj1dSUpLWrVsXiRIBAEANwt4onD59WtOmTdPEiRPVp0+fgP07d+5UVVWVsrKy/MZjYmKUmZmp7OzscJcIAABshD16WL58ub755hu9++67Ne4vKCiQy+VSenp6wL709HR9+OGH4S7xnPg9S/+Y5Vn65/Es/foihog8a9zgOWKJIdoRQwBNXVhXFDwej+bOnavf//73Sk2t+QdOaWmpJCkuLi5gX3x8vHc/AACIvLA2Cr/97W+VlpamKVOm2M5JSEiQJJWXlwfsKysr8+4HAACRF7boYc+ePXr66af16KOPKj8/X5JkjFFZWZkqKyt14MABpaSkKD09XcYYFRQUBLyNgoICZWRk1Pp+ijavkis20W8sodsQJXYfErqTOQtr3MBL+oZWMDFE7ueH/I5pHsNzxOrDGjd4Dhf672vfOtLlAKink7s3qXTPJr8xU3Ey6OPD9hM1Pz9fxhhNmzZNU6dODdjftWtXTZ8+XX/4wx/UvHlzbdu2TaNHj/bur6ysVE5OjsaOHVvr+0kZdKdi21wY8voBAIgGid0D/3iu+HavCl+ZEdTxYWsU+vTpo/Xr1weM//a3v9WJEyf02GOPqWvXrkpJSdGwYcO0Zs0azZkzx3uL5OrVq1VSUsJDlwAAcFDYGoW0tDSNGjUqYHzp0qVyuVwaOXKkd2zBggUaPHiwrrjiCk2aNEl5eXl6+OGHNXz4cF199dXhKjEsrHEDMURoWWMIa9zQ80f+8ZR1HzFE/VSPGjwF3/r2pbeJdDkAHODIq0e6XC6//1966aXauHGjEhMTde+99+rpp5/WxIkT9dJLLzlRHgAA+D8R/3Prvffeq3F80KBB2rRpU437AACAMxxZUQAAAI0DAW4YWa9L+P677/32tUxrGelyoor12oPqt0dar1ngeoXQsl6X4Dl0xDee0c6JcgBEACsKAADAFo0CAACwxVpshFSPGo4XHvdut2rdKtLlRJXqkYLdrZPEEKFljRs8eYd94+e3d6IcAGHCigIAALBFowAAAGyx/uoQa9xADBFadndEEEOEjzVu8Bz0fWxTO9b+om4AGj5WFAAAgC0aBQAAYIs11wbAGjcc+/aYd/u8Nuc5UU5UCSaG2PVZvnc7JjYmMoVFMWvc4Pkmzzd+wflOlAOgnlhRAAAAtmgUAACALaKHBsYaN3iOerzbqW1TnSgnqlhjCGvc0KtPhxrHiSHqzxo3eA4c9I136uhEOQDOASsKAADAFo0CAACwRfTQgFnjBmKI0LLGCsQQkWGNGzz7D/jGO3dyohwAQWJFAQAA2KJRAAAAtogeGgm/GOKIJYZoRwxRX8QQkWeNGzz79vvGu3SOeC0AaseKAgAAsEWjAAAAbBE9NELWuIEYIrTqGkNUPwZ1Z40brDFE9X0AnMGKAgAAsEWjAAAAbBE9NHJ+McThQt94+9ZOlBNVgokhqu8jhqif6lGD5+uvffu6do1sMQAksaIAAABqQaMAAABs0SgAAABbXKMQRazXJXgKvvXfl94m0uVEFbvrFST/axa+2Jnn3Y6Niw1/YVHOel2CZ+9e3/iFFzpRDtAksaIAAABs0SgAAABbRA9RqnrUYI0iiCHqp/otkNa4offF59c4TgxRf9a4wbNnt2+8W3cnygGaDFYUAACALRoFAABgi+ihibDGDZ5DR3zjGe2cKCeqWGMFYojIsMYNnt1f+ca793CiHCCqsaIAAABs0SgAAABbRA9NkDVuIIYILWKIyLPGDcQQQOixogAAAGzRKAAAAFtED02cXwyRd9g3fn57J8qJKsQQkecXQ3yV6xvv0dOJcoCowIoCAACwRaMAAABsET3Ayxo3EEOEFjFE5FnjBs+Xu3zjF/Vyohyg0WJFAQAA2KJRAAAAtogeUCO/GOLgId94xwwnyokqxBCRZ40biCGAugn7isKOHTs0atQopaWlKTk5WRdffLGWLVvmN2fz5s26/PLLlZSUpPT0dE2fPl0lJSXhLg0AAJxFWFcU/vGPf2jUqFHq16+ffv/73ys5OVl79+5VXp7vr6WcnBwNGzZMvXvpJ4LFAAAgAElEQVT31tKlS5WXl6fFixdrz5492rBhQzjLAwAAZxG2RqG4uFh33HGHRo4cqZdeesl23uzZs5WamqoPPvhASUlJkqROnTpp0qRJ2rhxo4YNGxauEhEk4obwCSaG2PPV0YjWFO38Yojcz33jPX/kRDlAgxe26OH555/X0aNHtWDBAknSyZMnZYzxm1NcXKyNGzfq9ttv9zYJkjR+/HglJSVp3bp14SoPAAAEIWyNwjvvvKOUlBQdPHhQPXv2VHJyslJSUnTPPfeovLxckrRz505VVVUpKyvL79iYmBhlZmYqOzs7XOUBAIAghC162L17tyorK3X99ddr4sSJevDBB/X+++/rscce0/fff6/nn39eBQUFcrlcSk9PDzg+PT1dH374YbjKQwhUlFd4t7kyv/6sH0Nr3HDn9f5L4v/z2mfebZfLFf7CohhxA3B2YWsUTpw4odLSUk2ePFlLly6VJN1www0qLy/XihUr9MADD6i0tFSSFBcXF3B8fHy8dz8AAHBG2KKHhIQESdLNN9/sNz5u3DgZY7RlyxbvnDNRhFVZWZl3PwAAcEbYVhQyMjL0xRdfqF27dn7jbdu2lSQdO3ZMXbt2lTFGBQUFAccXFBQoI+PsV9sXbV4lV2yi31hCtyFK7D6kHtUDABAdTu7epNI9m/zGTMXJoI8PW6OQlZWljRs3Kj8/X927d/eOHzr0w1P+2rZtqz59+qh58+batm2bRo8e7Z1TWVmpnJwcjR079qzvJ2XQnYptc2HoTwBnZc3Uy06W+e2LT4yPdDlRy3pNgiTddUMf7/Yz63d6t91unsgeSuWlvpXOuITAeBRoLBK7B/7xXPHtXhW+MiOo48P2k2XMmDEyxuiZZ57xG1+5cqViYmJ05ZVXKiUlRcOGDdOaNWv8nsS4evVqlZSUaMyYMeEqDwAABCFsKwqZmZm66667tGrVKlVWVurKK6/Ue++9p1deeUWzZ89W+/Y/vJbAggULNHjwYF1xxRWaNGmS8vLy9PDDD2v48OG6+uqrw1UeAAAIQlgf4fzUU0+pU6dOWrVqlV577TV16tRJjzzyiKZOneqdc+mll2rjxo2aNWuW7r33XrVo0UITJ07UwoULw1kaQqx61HDyhC//SkxOrD4ddVD9Fkhr3DDh5xfXOE4MUX/WuIGvZzRlYW0UmjVrpjlz5mjOnDm1zhs0aJA2bdpU6xwAABB5/NkBAABshXVFAU2XdXm2pMh3oWpSSlJN01EH1ljBLoZY+eq/vdvNmjWLTGFRzPr1fOL7E97t5JbJTpQDRBQrCgAAwBaNAgAAsEX0gLCzxg3Fx4u92y1atXCinKhijSGsccPdv+hb4zgxRP1Z44YiT5F3OyU1xYlygLBjRQEAANiiUQAAALaIHhBR1riBZdvQssYKxBCRYf26PV543LvdqnUrJ8oBwoIVBQAAYItGAQAA2CJ6gGOsy7bff/e9d7tlWksnyokqxBCRZ40bPEc93u3UtqlOlAOEDCsKAADAFo0CAACwRfSABsEaN3D1eGgFFUO8YokhmhND1Jc1bvAcscQQ7Ygh0PiwogAAAGzRKAAAAFtED2hwuHo8fPxiCEvccPeNxBDhYo0bPAXf+sbT2zhRDlBnrCgAAABbNAoAAMAW0QMaNK4eDx9rrBBMDFH9GNSdNW7w5B3233d++0iXAwSFFQUAAGCLRgEAANgiekCj4Xf1+OFC33j71k6UE1WCiSGq7yOGqJ/qUYPn4CHfvo4ZkS4HsMWKAgAAsEWjAAAAbNEoAAAAW1yjgEbJel2C9Wl3Ek+8qy+76xUk/2sWnn75U+928xh+lNSX9boEzzd5vvELzneiHMCLFQUAAGCLRgEAANhivRCNXvWowXPoiG9fRrtIlxNVqt8CaY0bJo6+pMZxYoj6s8YNnv0HfOOdOzlRDpo4VhQAAIAtGgUAAGCLNUJEHWvcYH3hHV50p/6ssQIxRGRY4wbPvv2+8S6dI14LmiZWFAAAgC0aBQAAYIt1QUQ1a9zAi+6EFjFE5FnjBs/XX/vGu3aNfDFoMlhRAAAAtmgUAACALdYC0WTwLP3wIYaIPGvc4Nm71zd+4YVOlIMoxooCAACwRaMAAABssf6HJsnvWfoHDvrGO3V0opyoEkwMseKlHO92TGxMZAqLYta4wbP7K9949x5OlIMow4oCAACwRaMAAABsET2gybPGDbykb2hZYwhr3DDppswax4kh6s8aN3i+yvWN9+jpRDmIAqwoAAAAWzQKAADAFtEDYMFL+oaPNVYIJoaofgzqzho3eL7c5b/vol6RLgeNVFhXFPbs2aObb75ZHTt2VFJSknr16qV58+aptLTUb97mzZt1+eWXKykpSenp6Zo+fbpKSkrCWRoAAAhC2FYU8vLy1L9/f5133nmaOnWqUlNTtWXLFs2dO1c7duzQ+vXrJUk5OTkaNmyYevfuraVLlyovL0+LFy/Wnj17tGHDhnCVBwAAghC2RmH16tUqKirSli1b1LPnD8tfd999t06dOqW//OUv+v7779WyZUvNnj1bqamp+uCDD5SUlCRJ6tSpkyZNmqSNGzdq2LBh4SoRqJXfS/oSQ4RUMDFE9X3EEPVTPWrw5H7u29fzR5EuB41I2KKH4uJiSVLbtm39xtu3by+3263Y2FgVFxdr48aNuv32271NgiSNHz9eSUlJWrduXbjKAwAAQQhbozB06FAZY3TXXXfp008/VV5entauXasnn3xS06dPV0JCgnbu3KmqqiplZWX5HRsTE6PMzExlZ2eHqzwAABCEsDUKw4cP17x58/T222/r0ksv1QUXXKBx48Zp2rRpWrJkiSSpoKBALpdL6enpAcenp6fr0KFD4SoPAAAEIay3R3bu3FlXXnmlRo8erdTUVG3YsEELFixQ+/btdc8993jvfoiLiws4Nj4+PuDuCMApftcrfP21/76uXSNbTJSxu15B4gmO4WS9LsGz6zPfeK8+TpSDBixsjcKLL76oSZMmac+ePd4VgxtuuEGnTp3SzJkzdcsttyghIUGSVF5eHnB8WVmZdz8AAHBG2BqF5cuXq1+/fgGxwqhRo/Tcc88pOztb6enpMsaooKAg4PiCggJlZGSc9f0UbV4lV2yi31hCtyFK7D6kficAAEAUOLl7k0r3bPIbMxUngz4+bI3CkSNHlJqaGjBeWVkpY4yqqqrUp08fNW/eXNu2bdPo0aP95uTk5Gjs2LFnfT8pg+5UbJsLzzoPCJXqUYNn717fvgv5WqyP6pECLyQVGda4wfPFv33jvfs6UQ5CLLF74B/PFd/uVeErM4I6PmwXM/bo0UPZ2dnas2eP3/gLL7ygZs2aqW/fvkpJSdGwYcO0Zs0avycxrl69WiUlJRozZky4ygMAAEEI24rCjBkz9Pe//12XX365pkyZorS0NL3xxht66623NHHiRLVv316StGDBAg0ePFhXXHGFJk2apLy8PD388MMaPny4rr766nCVBwAAguAyxphwvfFt27bpD3/4g7Kzs/Xdd9+pS5cu+uUvf6kZM2bI7fYtZmzevFmzZs3Sjh071KJFC40dO1YLFy70ewhTdTt27FBWVpZa37iY6AENhmfPbu92arfuDlYSfSorKr3b1hjiqXW+563ExsVGtKZo5/ncF/Gk/iizlplobM5ED9u3b1e/fv1qnRvW2yMvu+wyvfnmm2edN2jQIG3atOms8wAAQGSF9dUjAQBA4xbWFQWgqbHGDZ7dX/nGu/dwopyoYr27wRo3/GrMpTWOE0PUnzVu8Hzm+9im9rm0pumIUqwoAAAAWzQKAADAFtEDECbWuIEYIrSssQIxRGRY4wbPzu2+8YuzapqOKMKKAgAAsEWjAAAAbBE9ABHgF0N8lesb79HTiXKiCjFE5FnjBs+/t/nG+17mRDkIM1YUAACALRoFAABgi+gBiDBr3OD5cpdv/KJeTpQTVYghIs8aNxBDRCdWFAAAgC0aBQAAYIvoAXCQNW4ghggtYojI84shPt3qG79kgBPlIERYUQAAALZoFAAAgC2iB6CB8Ishcj/3jff8kRPlRJW6xhDVj0HdWeMGT84n/vsyfxzpclAPrCgAAABbNAoAAMAW0QPQABE3hE8wMYQkrfrfz4XQqB41eLK3+PZd+pNIl4M6YkUBAADYolEAAAC2aBQAAIAtrlEAGpny0nLvdlxCnIOVNH7W6xWqX5Pw8m/+P+/2jUve9W67XK7wFxbluC6hcWFFAQAA2KJRAAAAtogegEbGGjecPHHSu52YnOhEOVHLGje88t9Xebd/sfgd77bbzd9aoVR2ssy7HZ8Y72AlsOKrHAAA2KJRAAAAtogegEbMGjec+P6Edzu5ZbIT5UQV690N1rjh1Rk/rXGcGKL+rHFDSVGJdzspJcmJcvB/+MoGAAC2aBQAAIAtogcgSljjhiJPkXc7JTXFiXKiijVWsIshfr5oo3e7WbNmkSksilnjBr6encWKAgAAsEWjAAAAbBE9AFHIujx7vPC4d7tV61ZOlBNVrDGENW5YP3NYjePEEPXH17OzWFEAAAC2aBQAAIAtogcgylmXZz1HPd7t1LapTpQTVayxAjFEZPh9PR+xfD234+s5XFhRAAAAtmgUAACALaIHoAmxxg0s24YWMUTkWb9uPQXf+sbT2zhRTtRiRQEAANiiUQAAALaIHoAmimXb8Akqhnhoo/8xzYki6sP6devJO+y/7/z2kS4nqrCiAAAAbNEoAAAAW0QPAGyXbVmyrT+/GMISN6yfNcxvnnUfMUT9VP+69XyT59t3wfmRLqfRq/OKQklJiebOnasRI0YoLS1Nbrdbq1evrnFubm6urrnmGrVo0UJpaWkaP368CgsLA+YZY7Ro0SJ17dpVCQkJuuSSS/Tiiy/W/WwAAEBI1blRKCws1Lx585Sbm6vMzEy5XK4a5+Xn52vIkCH6+uuv9eCDD2rGjBnasGGD/uM//kNVVVV+c++//37dd999Gj58uJYtW6ZOnTpp3LhxWrdu3bmdFQAACIk6Rw8ZGRk6fPiw2rZtq+3bt6t///41zluwYIFKS0uVk5OjDh06SJL69++vq6++Ws8++6zuvvtuSdKhQ4e0dOlSTZ06VY8++qgkacKECbryyis1Y8YM3XTTTbbNCAAACK86NwoxMTFq27btWee9+uqruu6667xNgiT99Kc/VY8ePbRu3Tpvo/Daa6+pqqpKkydP9jt+8uTJuvXWW7VlyxYNGjSormUCOEfWfNdz8JD/vo4ZkS4nqlivPah+e6T1mgWuVwgt63UJnv0HfOOdOzlRTqMTlrseDh06pKNHj+qyyy4L2DdgwABlZ2d7/5+Tk6OkpCT17NkzYJ4xxm8uAACIrLA0CgUFBZKk9PT0gH3p6enyeDyqrKz0zm3Xrl2N86Qfmg4AAOCMsNweWVpaKkmKi4sL2BcfH++dExMTo9LS0rPOA+CM6lEDt5mFTvVIwe7WSWKI0LLGDZ59+33jXTpHvJbGIiwrCgkJCZKk8vLygH1lZWV+cxISEoKaBwAAIi8sKwpnYoMzEYRVQUGBUlNTFRMT4537/vvv1zhP+uEui9oUbV4lV2yi31hCtyFK7D7kXEoHACCqnNy9SaV7NvmNmYqTQR8flkYhIyNDbdq00bZt2wL2bd26VZmZmd7/Z2Zm6plnnlFubq7fBY0ff/yxXC6X39yapAy6U7FtLgxd8QBscfV4+NjdEWGNIW548G3vdvMYHqxbX9a4wbN3r2/8wuj6nZLYPfCP54pv96rwlRlBHR+213q48cYb9eabbyo/P9879s477+irr77SmDFjvGPXX3+9mjVrpieeeMLv+CeffFIdOnTg1kgAABx0Ti3p448/ruPHj3ubgNdff10HDx6UJE2bNk0tWrTQ7Nmz9fLLL2vo0KGaPn26iouLtWTJEl1yySX65S9/6X1bHTp00K9//WstWbJEFRUV6t+/v9avX6+PPvpIL7zwAg9bAgDAQS5jjKnrQV26dNE333xT4759+/bpggsukCTt2rVL9957rz788EPFxsbquuuu05IlS9SmTeDr3T/00EN66qmnVFBQoO7du2v27Nm6+eabbWvYsWOHsrKy1PrGxUQPgMO4ejx8qip9j7x/7b6rvdvEEOHj2f2Vdzu1ew8HKwmfM9HD9u3b1a9fv1rnntNX1759+4Ka16tXL/3tb38Lau6sWbM0a9ascykHAACESdiuUQAAAI0f61UA6s3v6vGvv/aNd+0a+WKijDVWsMYNxBDhY40bPF/l+sZ79KxpetRjRQEAANiiUQAAALZYowIQUta4IZofYuMEYojIs8YNni93+cYv6uVEOY5gRQEAANiiUQAAALZYlwIQNta4oSk8xCaSiCEizxo3eHZ95hvv1ceJciKGFQUAAGCLRgEAANhiLQpARPAQm/AJJoa4/o//8DsmJjYm/IVFMWvc4Pni3/77eveNdDlhxYoCAACwRaMAAABsET0AiDgeYhM+1hjCGjf87/3/4TfPuo8Yon6qRw2ez3N8+36UGelyQo4VBQAAYItGAQAA2KJRAAAAtrhGAYCj/J52l/u5/76eP4p0OVHFeu1B9dsjrdcscL1CaFmvS/Ds3O4bvzjLiXLqjRUFAABgi0YBAADYInoA0GBUjxqa0gvvhFv1SMHu1kliiNCyxg2ef2/zjfe9zIlyzgkrCgAAwBaNAgAAsEX0AKDBsnvhnWh70R0n2N0RQQwRPta4wfPpVt/4JQOcKCdorCgAAABbNAoAAMAW0QOARsEaN0Tbi+44jRgi8qxxgyfnE9945o+dKKdWrCgAAABbNAoAAMAW0QOARsfvWfqfZfvG+1zqRDlRJZgYYtTCt7zbsXGxkSksilnjBk/2Ft/4pT9xopwArCgAAABbNAoAAMAW0QOARs0aN0TDS/o2JNYYwho3vD57eI3jxBD1Z40bPDs2+8b7DXKiHEmsKAAAgFrQKAAAAFtEDwCiRjS8pG9DZY0ViCEiwxo3eLZ/6BvPujyidbCiAAAAbNEoAAAAW0QPAKKS30v6EkOEFDFE5FnjBs+/PvCN978y7O+bFQUAAGCLRgEAANgiegAQ9fxiiE+3+sYtL/WLc1PXGKL6Mag7a9zg2fq+/74BQ0P+/lhRAAAAtmgUAACALaIHAE2KNW7w5HziG7e81C/OTTAxRPV9xBD1Uz1q8Hzyrm/fj68KyftgRQEAANiiUQAAALZoFAAAgK06X6NQUlKiRYsWaevWrdq6dauOHTumZ599VuPHj/fOMcboueee0/r165WdnS2Px6MuXbro5ptv1n//938rLi4u4O0+88wzevjhh7Vv3z517NhR06ZN05QpU+p3dgBQC+t1CZ7sLf77Lv1JpMuJKnbXK0g8wTGcrNcleD5+xzc+8Kfn/DbrvKJQWFioefPmKTc3V5mZmXK5XAFzTp48qbvuukuFhYWaPHmyHn30Uf34xz/W3Llz9bOf/Sxg/pNPPqmJEyfq4osv1rJlyzRo0CBNmzZNixcvPrezAgAAIVHnFYWMjAwdPnxYbdu21fbt29W/f/+AObGxsdq8ebMGDhzoHZswYYI6deqkP/zhD3r33Xd11VU/dD1lZWWaM2eORo4cqbVr13rnnjp1SvPmzdOkSZPUsmXLcz0/AABQD3VuFGJiYtS2bduzzrE2CWf8/Oc/19y5c7Vr1y5vo/Dee+/J4/Honnvu8Zv7X//1X3r++ee1YcMGjRs3rq5lAkCdEDWET/VIwe7WydEPvxexmpoCa9xQnxgiohczFhQUSJJat27tHcvOzpYkZWVl+c3NysqS2+327gcAAJEX0UZh0aJFatmypUaMGOEdKygoULNmzfyaB+mHVYm0tDQdOnQokiUCAACLiD2ZceHChXr33Xe1fPlypaSkeMdLS0sVG1vzla7x8fEqLS2NVIkAUKOyk2Xe7fjEeAcriQ7WKMIaN+z988+9212nvOrdrumiedRNRO96OBdr167VnDlzdPfdd2vSpEl++xISElRRUVHjcWVlZUpISIhEiQAAoAZhX1F4++23dccdd2jkyJFavnx5wP709HSdOnVKhYWFfvFDZWWlvvvuO2VkZNT69os2r5IrNtFvLKHbECV2HxKaEwAAoBE7uXuTSvds8hszFSeDPj6sjcLWrVv1i1/8QgMGDNDatWvldgcuYGRmZsoYo23btumaa67xjv/rX//S6dOnlZmZWev7SBl0p2LbXBjy2gHgDGvcUFJU4t1OSklyopyoZY0bvl72C+92l/96xbtd0+8R1C6xe+AfzxXf7lXhKzOCOj5sH/Fdu3bp2muvVdeuXfXGG2/U+DRGSbrqqqt03nnnBaw2LF++XElJSbr22mvDVSIAADiLc1pRePzxx3X8+HHl5+dLkl5//XUdPHhQkjRt2jS5XC4NHz5cx48f18yZM/Xmm2/6HX/hhRd6n7MQHx+v+fPna8qUKRozZoyGDx+uf/7zn3rhhRe0cOFCtWrVqj7nBwAA6sFljDF1PahLly765ptvaty3b98+GWPUtWtX2+PvuOMO/c///I/fWPXXepg6daqmTp1q+zZ27NihrKwstb5xMdEDAEcUeYq82ympKbXMRF2dPn3au73v8Ru928QQoXEmeti+fbv69etX69xzWlHYt2/fWeecOnWqTm9zwoQJmjBhwrmUAwAAwoR2DAAA2IrYA5cAINpY44bjhce9261ac21VfVljBWvcYI0hOt/zsne7WbNmkSmsCWJFAQAA2KJRAAAAtogeACAErHGD54jHu53aLtWJcqKKNYawxg37nxhd4zgxRGixogAAAGzRKAAAAFtEDwAQYta4wVPwrW88vY0T5UQVa6wQTAxR/RjUHSsKAADAFo0CAACwRfQAAGFkjRs8eYd94+e3d6KcqBJMDFF9HzFE3bGiAAAAbNEoAAAAWzQKAADAFtcoAECEWK9L8HyT57/vgvMjXU5UsbteQap26+Rky/UKzbleIRisKAAAAFs0CgAAwBbRAwA4oHrU4Nl/wLevc6dIlxNVqt8CaY0b9i8nhqgrVhQAAIAtGgUAAGCL6AEAGgBr3ODZt9833qVzxGuJNtZYgRii7lhRAAAAtmgUAACALaIHAGhgrHGDZ+9e3/iFF0a+mChDDFF3rCgAAABbNAoAAMAW0QMANGDWuMGz+yvfePceTpQTVYKJITr950ve7eYxTfNXJisKAADAFo0CAACw1TTXUQCgEbLGDZ6vcn3jPXo6UU5UscYQ1rjhwJM31TjelGIIVhQAAIAtGgUAAGCr6aydAEAUscYNni93+cYv6uVEOVHFGisQQ7CiAAAAakGjAAAAbEX3egkANAHWuMGz6zPfeK8+TpQTVeoaQ1Q/JhqwogAAAGzRKAAAAFvRtT4CAE2cNW7wfPFv33jvvk6UE1WCiSGq74uGGIIVBQAAYItGAQAA2KJRAAAAthp/eAIAqJH1ugTP5zn++36UGelyoord9QqS/zULF/xqnXc7JjYm/IWFASsKAADAFo0CAACwRfQAAE1A9ajBs3O7b9/FWZEuJ6pUvwXSGjd889SYGscbUwzBigIAALBFowAAAGzVuVEoKSnR3LlzNWLECKWlpcntdmv16tW1HnPq1Cn17t1bbrdbf/rTnwL2G2O0aNEide3aVQkJCbrkkkv04osv1rU0AECQUi/O8v7z/Hub9x/qLyY2xvvvgl+t8/775qkx3n+VFZXefw1dnRuFwsJCzZs3T7m5ucrMzJTL5TrrMY8++qgOHjxoO/f+++/Xfffdp+HDh2vZsmXq1KmTxo0bp3Xr1tU4HwAAREadG4WMjAwdPnxY+/bt06JFi2SMqXX+0aNHNW/ePN133301zj106JCWLl2qqVOnavny5ZowYYJef/11DRkyRDNmzDjr2wcAAOFT57seYmJi1LZt26Dn33ffferVq5duvfVWzZkzJ2D/a6+9pqqqKk2ePNlvfPLkybr11lu1ZcsWDRo0qK5lAgCClNr3Mu+259OtvvFLBjhRTlSx3t3QWO+GCOvFjFu3btXq1av1yCOP2MYOOTk5SkpKUs+ePf3GBwwYIGOMsrOzw1kiAACoRVgbhalTp+qWW27RgAH2XWlBQYHatWsXMJ6eni7ph2gCAAA4I2wPXFq1apU+//xzrV+/vtZ5paWliouLCxiPj4/37gcARIY1bvDkfOIbz/yxE+VElcYaQ4RlRaG4uFizZ8/WzJkzlZGRUevchIQElZeXB4yXlZV59wMAAGeEZUVh8eLFqqys1JgxY3TgwAFJ0sGDByVJx44d04EDB5SRkaGYmBilp6fr/fffD3gbBQUFknTWRqNo8yq5YhP9xhK6DVFi9yEhOBMAABq3k7s3qXTPJr8xU3Ey6OPD0igcPHhQx44dU+/evf3GXS6XFixYoIULFyo7O1t9+/ZVZmamnnnmGeXm5vpd0Pjxxx/L5XIpM7P2l0JNGXSnYttcGI7TAIAmzRo3eLK3+MYv/YkT5USVSMYQid0D/3iu+HavCl+ZEdTxYYkepk+frvXr1+u1117z/luxYoWMMbrzzjv12muvqUuXLpKk66+/Xs2aNdMTTzzh9zaefPJJdejQgVsjAQBw0DmtKDz++OM6fvy48vPzJUmvv/66N1qYNm2aMjMzA1YCzkQQP/rRjzRy5EjveIcOHfTrX/9aS5YsUUVFhfr376/169fro48+0gsvvBDUkx8BAEB4nFOjsGTJEn3zzTeSfogT1q9f77274fbbb1eLFi1qPM7ul/5DDz2k1NRUPfXUU3ruuefUvXt3Pf/88xo7duy5lAcACDFr3ODZsdk33o9V3/oKJoboOGmtdzs2LjYyhf2fc2oU9u3bV+djOnXqpFOnTtnunzVrlmbNmnUu5QAAgDDhZaYBAICtsD1wCQAQnaxxg2f7h77xrMudKCeqWGMIa9xwcMXYGscjEUOwogAAAGzRKAAAAFtEDwCAc2aNGzz/+sA33roWH0UAAAG3SURBVP9KJ8qJKtZYIZgYovoxocKKAgAAsEWjAAAAbBE9AABCwho3eLa+7xsfMDTyxUSZYGKI6vtCFUOwogAAAGzRKAAAAFs0CgAAwBbXKAAAQs56XYLnk3f99/34qghXE13srleQwvMER1YUAACALRoFAABgi+gBABBW1aMGz8fv+PYN/Gmky4kq1SOFcLyQFCsKAADAFo0CAACwFRXRw8ndm5TYfYjTZUQc5920cN5NSzSftzVuqB5DRPN51yZU5x3sC0lVVVQF/TajYkWhdM8mp0twBOfdtHDeTQvn3bQ05POOikYBAACER1REDwCAxom7HsKnthgie8cODXrj/qDeDisKAADAVqNdUSgtLZUkVR3Lk6k4qYpv9zpcUeRx3k0L5920cN5NS7jP23rxYvaOHfoyd5ck3+/S2riMMSZslYXR888/r9tuu83pMgAAaLTWrFmjW2+9tdY5jbZRKCws1FtvvaXOnTsrISHB6XIAAGg0SktLtX//fg0fPlytW7eudW6jbRQAAED4cTEjAACwRaMAAABs0SgAAABbNAoAAMAWjQIAALBFowAAAGzRKAAAAFv/P6g3lR8fsKB5AAAAAElFTkSuQmCC",
      "text/plain": [
       "PyPlot.Figure(PyObject <matplotlib.figure.Figure object at 0x7f7ab8e5f8d0>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "matshow(real(H), cmap=:Blues)\n",
    "show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Simulation and Plotting Code"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Hamiltonian evolution using a pure state (wavefunction) as a benchmark for efficiency. This solves the time-independent Schrodinger equation $i\\hbar \\partial_t |\\psi\\rangle = H |\\psi\\rangle$ by exact matrix exponentiation."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "function solveψ(Δt=0.1)\n",
    "    meana(ψ) = expectvec(ψ, a)\n",
    "    pop(ψ) = real(expectvec(ψ, n))\n",
    "    p0(ψ) = real(expectvec(ψ, qel(0,0)))\n",
    "    p1(ψ) = real(expectvec(ψ, qel(1,1)))\n",
    "    p2(ψ) = real(expectvec(ψ, qel(2,2)))\n",
    "    t = trajectory(ham(Δt, H, ket=true), groundvec(s), (0.0, 200.0), meana, pop, p0, p1, p2, dt=Δt)\n",
    "end;"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Mixed state master equation evolution that includes decay. This solves the Lindblad master equation $\\partial_t \\rho = (1/i\\hbar)[H,\\,\\rho] + L_r \\rho L_r^\\dagger - \\{L_r^\\dagger L_r,\\, \\rho \\}/2$ using one of several methods. Method 1: by unraveling the evolution into independent jump and no-jump evolutions. Method 2: explicit 4th-order Runge-Kutta integration."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "function solveρ(step, Δt=0.1)\n",
    "    meana(ρ) = expect(ρ, a)\n",
    "    pop(ρ) = real(expect(ρ, n))\n",
    "    p0(ρ) = real(expect(ρ, qel(0,0)))\n",
    "    p1(ρ) = real(expect(ρ, qel(1,1)))\n",
    "    p2(ρ) = real(expect(ρ, qel(2,2)))\n",
    "    t = trajectory(step(Δt, H, clist=[Lr]), ground(s), (0.0, 200.0), meana, pop, p0, p1, p2, dt=Δt)\n",
    "end;"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Super-operator method for exact matrix exponential of Lindblad evolution (requires considerably more memory). This solves the same Lindblad master equation as above in super-operator space by exact matrix exponentiation."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "function solveρsuper(Δt=0.1)\n",
    "    meana(ρ) = expect(unsuperket(ρ), a)\n",
    "    pop(ρ) = real(expect(unsuperket(ρ), n))\n",
    "    p0(ρ) = real(expect(unsuperket(ρ), qel(0,0)))\n",
    "    p1(ρ) = real(expect(unsuperket(ρ), qel(1,1)))\n",
    "    p2(ρ) = real(expect(unsuperket(ρ), qel(2,2)))\n",
    "    t = trajectory(slind(Δt, H, clist=[Lr]), superket(ground(s)), (0.0, 200.0), meana, pop, p0, p1, p2, dt=Δt)\n",
    "end;"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Matplotlib code for plotting both the resonator dynamics and the qubit populations nicely."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "function plotsolution(t)\n",
    "    as = t[1]\n",
    "    ns = t[2]\n",
    "    p0s = t[3]\n",
    "    p1s = t[4]\n",
    "    p2s = t[5]\n",
    "    \n",
    "    figure(1)\n",
    "    p1 = plot(real(as), imag(as), label=L\"$\\alpha(t)$\")\n",
    "    ax = gca()\n",
    "    ax[:set_ylim]([-2.1,2.1])\n",
    "    ax[:set_xlim]([-4.5,0.5])\n",
    "    xlabel(L\"Re$\\alpha$\")\n",
    "    ylabel(L\"Im$\\alpha$\")\n",
    "    title(\"Classical Resonator amplitude\")\n",
    "    legend()\n",
    "    grid()\n",
    "    show()\n",
    "    \n",
    "    figure(2)\n",
    "    p2 = plot(ns.t, ns)\n",
    "    xlabel(L\"$t$ (ns)\")\n",
    "    ylabel(L\"$n(t)$\")\n",
    "    title(\"Photon Number vs. Time\")\n",
    "    grid()\n",
    "    show()\n",
    "\n",
    "    figure(3)\n",
    "    ax = gca()\n",
    "    ax[:set_ylim]([0,1.05])\n",
    "    p2 = plot(p0s.t, p0s, label=L\"$P_0$\")\n",
    "    plot(p1s.t, p1s, label=L\"$P_1$\")\n",
    "    plot(p2s.t, p2s, label=L\"$P_2$\")\n",
    "    plot(p0s.t, p0s.+p1s.+p2s, label=L\"$P_{\\rm tot}$\")\n",
    "    xlabel(L\"$t$ (ns)\")\n",
    "    ylabel(\"Probability\")\n",
    "    title(\"Qubit Populations vs. Time\")\n",
    "    grid()\n",
    "    legend()\n",
    "    show()\n",
    "end;"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Simulation Results"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Benchmark Hamiltonian pure state evolution"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\u001b[1m\u001b[34mINFO: Trajectory: steps = 1999, points = 1000, values = 5\n",
      "\u001b[0m\u001b[1m\u001b[34mINFO: Time elapsed: 0.115060331 s, Steps per second: 17373.494258416482\n",
      "\u001b[0m"
     ]
    },
    {
     "data": {
      "image/png": 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pXqNQKDB48GAMHjwYUVFRCAoKwoYNG7Bp0yZcu3YNV69eTRIQtWvXhr+/P+Lj4xESEoJ9+/bB19cXHh4eMDU1TXfGu0qEPXr0CDY2Nukexz///JMUHf18QtTp06cxb968DH0eGSFl5K9s2bJYt24d7t27hxUrVsDNzQ2tW7dO2tbIyAgKhQL+/v5o1apVhvZvZGSE2bNnY/bs2bh79y4CAwPx999/Y+HChYiJiUmKnqlEVmRkZJqRWFX6SkZSQL7E7Nmz8fLlyyRBn5INGzZg1apVmdpfSpvTIj2bMztSsWPHDgQHB6N3795Yvny52nORkZHw9vbO1P6+laioKAghUtmv+gy+xz/poVQqIYRAQkJCqufSEtQqO54+fZrm/tLymeo18+fPh5eX1/eYyzCSwzm3DCMhvXv3ho6ODrZu3YqwsLB0t02rHFRK7t69i0+fPqFZs2aphG1ERATu3r2b7utNTEzQtm1bbNiwAY0bN8adO3dw5cqVVNvp6OigTp068Pb2xvz58yGEwI4dO9Ldd506dSCEwN69e9PdDgDu3LkDhUKBH3/8MdVzR48e/errvweFQpF0TGPGjFErO6Y6hm9tK2xlZYXevXvj6NGjyJ8/v9pnpqqakNbx3blzBxEREShTpkyqdJHMcOfOHQD44uealuBUpWaINMqvVatWDUKING1OTExEUFAQgLSH/jPL7du3JftOpCQhIQEnT55Mtf7IkSMAvv1YVZ9zykh7SlTNRB4+fJjqubRK1llbW8PQ0BAXLlzA69ev07T3c3/XqVMHAHD8+PHMGc8wuRAWtwwjIRYWFklDqi1btkRISEia2+3btw8tWrRId1+qCTdBQUH49OlT0vo3b96gf//+qaI+Hz9+xOHDh1PtJz4+PmmIUiWSg4KCEBsbm2pbVQToczH9OT179kTBggWxePHiNH88U+ZLWlpapimazp8/j+nTp2d7x6xatWqhdevWuHHjhlpNUDc3N5QtWxaLFi36okg/ffo03r9/D4Byc69du5Zqm+joaHz48EHtM+vTpw+EEJg8ebJa699Pnz5h5MiREEKgX79+33Vcqu/H55/r/v37U0VDVRQpUgQAUqWzANQAo3DhwvDz88OZM2fUnps7dy7u3r2LZs2aZclkyS99J+7evYtffvklR7uojRs3Tu1GMzo6GpMnT4ZCoUCvXr2+aZ+FChWCQqFI83MGAHt7eyiVSqxfv14tTzo6Ohpjx45Ndfza2trw8PBAbGxsqqj2uXPn0hzFqVGjBpycnLBt27YvToy7cuUKnj9/nsmjY5ich9MSGEZixo0bh8TERPj4+KBmzZqoW7cu7O3tk9rvHjt2DLdu3UKtWrXS3U+xYsXQpUsXbNy4EXZ2dnB2dkZMTAwOHDgAAwMD2NnZqc0Af/fuHZo2bQpLS0vUrl0bFhYWeP/+PQ4cOICwsDC4ubmhYsWKAGhIOyAgAA0bNoSVlRXy58+Pq1evYu/evShSpAh++umndG0rUqQI1q9fj44dO6JRo0Zo0aIFqlatitjYWFy6dAkRERFJkcUePXpg1qxZGDp0KA4fPozy5cvj1q1b2LVrF9q3b48NGzZ85yf+dSZNmoTdu3fDx8cHHh4e0NbWhra2NrZt2wYXFxe0atUKdevWhZ2dHQwNDfHw4UMEBwfj3r17ePLkCfT19XHx4kW0a9cONWrUQJUqVVCyZEk8f/4cO3bsQEJCAsaOHZv0fg4ODhgzZgxmzZqFKlWqoEOHDsiXLx/27t2Lq1evwsnJCaNGjfquYxo0aBBWrlyJDh06oH379jAzM8OVK1ewf/9+dOrUKc3PtUmTJti8eTPatWuHli1bwsDAABYWFujWrRvy5cuHFStWoFOnTmjQoAE6duwIc3NzhISEICAgACVLlkzVnONbadOmDcqVK4c5c+bg0qVLqFatGh48eIDdu3ejdevW3/SdSCsa/TVKlCiBDx8+oEqVKnB1dU2qcxsZGQlPT880K4FkhHz58qF27do4fvw4unXrhgoVKkBLSwuurq6wtbVF8eLF4eHhgbVr18LOzg6tWrVCbGws9uzZgwYNGqQ5kW3q1Kk4dOgQ5s2bh+DgYDg6OuLx48fYtGkTWrVqleZoy/r169GkSRP069cPCxYsQO3atWFsbIyIiAhcunQJV69exalTp9QqejBMriSHSo4xDPMVwsLCxJAhQ4Stra0wMjISenp6omTJkqJly5Zi5cqVarU179+/L5RKpejTp4/aPt69eyd+++03Ub58eWFgYCDMzc3F4MGDRXR0tGjYsKHQ0tJK2jY+Pl7MmjVLtGzZUlhYWAgDAwNhamoqHBwcxNKlS0V8fHzStgcOHBB9+vQRNjY2wtjYWOTPn19YW1uLYcOGifDwcDUb0qpzq+LatWuiZ8+eolSpUkJPT08UL15cNGzYUCxbtkxtu+vXrws3NzdRrFgxkT9/fmFvby9WrFjxxePu1auX0NLS+u46tylp3769UCqVYuHChWrrnz9/LsaNGydsbW1Fvnz5RIECBUSFChVEx44dxfr160ViYqIQQoiIiAjx66+/CkdHR1GiRAmhr68vSpcuLVq1aiX279+f5ntu3LhRODk5iYIFCwoDAwNRpUoVMW3aNPHhw4dU21paWgorK6s09/MlH5w6dUo0adJEFC5cWBQsWFA4OTkJf39/cfToUaFUKsWkSZPUtk9MTBS//vqrKFu2rNDV1RVKpTJVPdVz586JH3/8UZiamgo9PT1hYWEhPD09xZMnT1LZlVk/pSQiIkJ069ZNlCpVShgaGooqVaqIP//8UyQkJAilUikaN26coc9AiPTrxn7ps7C0tBRlypQRsbGxwsvLS5QqVUro6+uLypUrp/qOCPHlc/RLn8GdO3eEq6urMDExEVpaWqns+/jxoxgzZowoXbq00NPTE+XLlxczZsz44vELIcTTp09F3759hampqTA0NBTVqlUTa9as+eIxCkH1i6dNmybs7e1FgQIFhKGhobCyshKtW7cWy5YtE3FxcalewzC5DYUQ3NSaYRiGYdKjTJkyUCgUX81dZxhGejjnlmEYhmEYhtEYWNwyDMMwDMMwGgOLW4ZhGIbJADlZlYFhmG+Hc24ZhmEYhmEYjYEjtwzDMAzDMIzGIPs6t1FRUdi/fz8sLS1hYGAgtTkMwzAMwzDMZ7x79w73799H8+bNYWJiku62she3+/fvR7du3aQ2g2EYhmEYhvkKa9euhYeHR7rbyF7cqlpSrl27FpUqVZLWmBymQ4cO2LJli9RmMDkE+1tesL/lBftbXsjR39evX0e3bt2SdFt6yF7cqlIRKlWqhOrVq0tsTc6io6Mju2OWM+xvecH+lhfsb3khZ39nJIVUYyaUnTt3Dl5eXqhSpQry588PCwsLdO7cGbdu3ZLatFxLxYoVpTaByUHY3/KC/S0v2N/ygv2dPhoTuZ0xYwZOnjyJjh07omrVqoiMjISvry+qV6+OM2fOoHLlylKbyDAMwzAMw2QzGiNuR44cCT8/P2hrJx9Sp06dUKVKFUyfPh1r1qyR0DqGYRiGYRgmJ9AYcVunTp1U68qVK4cqVarg+vXrEliU+2ndurXUJjA5CPtbXrC/5QX7W16wv9NHY3Juv8TTp0+/Wg9NruzatUtqE5gchP0tL9jf8oL9LS/Y3+mj0eJ27dq1ePToEbp06SK1KbkSb29vqU1gchD2t7xgf8sL9re8YH+nj8akJXxOWFgYvLy8UK9ePfTo0UNqc3Ilci0jIlfY33mbT5+AxMS0l0+fAIUCUCqTl3LlqiMuDtDTA7S0pLaeyW74/FYnPDwcUVFRUpuRrYSGhkptQpZhYmICc3PzLNufRorbZ8+eoVWrVihUqBA2b94MhUIhtUkMw8iU9++BqKivL2/eAG/fAnFxyY8fPiQL2O9BW5tErp4eYGAAFCyYvBgZ0aOJCWBqSkvRoup/6+llzWfBMDlBeHg4KlWqhLi4OKlNYTKIoaEhrl+/nmUCV+PEbWxsLJo3b47Y2FgEBQWhePHiGXpdy5YtUatWLbV1z58/x9ixY9G2bdukdQEBAVi4cCH8/f3VtvX09ET16tXRt2/fpHWhoaHw9vbGihUr1PJ+J06cCENDQ4wdOzZpXXh4OLy8vDBz5kxYW1snrff19UV4eDhmzZqVtC4uLg5dunTBmDFj4OjomLTez88PAQEBWLlypZptnTt3hru7Ox8HHwcfRxYeR2IiEBkJHDwYioULvdGu3Qq8emWCR4+AiAjg0qWJePvWEPHxY1PsIRyAF3R0ZsLU1BomJiQqo6N9kZAQjkaNZiFfPsDQENDWjsP69V3g7DwGFSs6QkuLIrBnz/rh6tUADBq0MmmdlhYwc2ZnODm5o2bNtvj0iaK5oaEB2LdvIQYM8MeHDySW4+KAHTs8oaNTHUZGfREbC4SHA48ehSIy0huJiSsApJynMBF6eoYoXXpskuAtUCAcwcFe6NFjJmrUsIaZGWBuDqxaxd8rPg7pj8PPzw9xcXGy7DyaF1F1Htu5cyf2798Pf3//JD8CwOXLl2FkZAQjI6MM71MhhBDZZXBO8+HDBzg7OyM0NBSHDh1KJVbTIjQ0FDVq1EBISIjshnWWL1+udhFiNBv2d+YQAnj2DLh9G7hzJ/nxzh0Sr5GR6hFVPT2gVCnAzIweS5UCihenyKdKxJqYUJQ0IYEita9fp//49i0QH09LQgItX/pbCIrQqpaHD5ejQoW+yJ8fakuBAki1Ln9+oFAhslWhAJ4/p+XZs+RF9X9kJPDkCfD4MUWcU1K4MGBpmbyULQtYWwMVKwIlS9K+meyBz+9k5Py7nhfJqL8y41eNidx++vQJnTp1wunTp+Hv758hYSt3QkND+WIoI9jfXyYmBrhyhZbLl5OXly+TtylRAihXjsSas7O6iDUzA/T1SfQ+fJi8XLsGPH2aLBafPwdiY9O3RV8/WYTmywfo6iYLVh0ddQGrq6uK8tJrExNJ6CYmAtHRoYiO7ovwcBLKquX1a4rgfgkDA3UxnlKclylD/6uOu3BhEryPHlH09/795GXnTuDePbIHoGOqWBGoVAn44YfkxdT0OxzHJMHnN8MkozHidsSIEdi5cydcXV0RFRWFdevWqT3v4eEhkWW5l0WLFkltApODsL9J9IWFARcvqovY8HB6XksLqFABsLUFmjUDKlcGypcHrKxIpN26RcudO8D584C/f7KQffVK/b2KFUuO3lpbA05OJAyLFqUoqSqCmvLR0JCisXFxaS/v3iVHixWK5EhoWn9raS2CoSHSXHR0SOCqxO7r12T/8+epc4EfPaLPS/V/ymi1lhaJ/lKlKEpboQLQsCF9ZuXL03vduwfcuEGfe1gYcPUqsG0bHQ9An09KsfvDDySCtTXm1yln4PObYZLRmMvHxYsXoVAosHPnTuzcuTPV8yxuGUZeCEEi9Nw5IDiYltBQGuoHSJDZ2gJdutCjrS1gYUFC9dYt4OZNYPduerx1iyKwKooUAUqXpsXJKfnv0qVpvyVKUNQ3MhJ48UJ9OX8+9bqXL5MnkOUUOjrJYrdgQRLchQvTY6FCdAw1alA6QYkS9GhiQlHuiIjkKHVEBN0c3LkDBASQQFZhakoit0IFemzZEhg+nP5+8IBEs2rx8wNmzqTX6ekBNjZA9eqAvT3ZYWvLE9sYhskYGiNujxw5IrUJDMNIyOPHwNmzyUL23LnktIIyZUgkTZwI1KxJQikqCrh0iZbNm4EJE2g4XUXBgiTKKlQAmjRJFmjly5NwfviQRJ3q8cqV5P8jIpKH41Voa5MoTrlUrUqPhQpR9DZldNXAIHXE1cCA9iNE8gKo/69al5BAkd4vRYBVf799S4L15UsgOprsv3QpOdc25awMLS2KtKrEbsmSlJLh7EyR27JlSTSrItyqm4QrVyhaGxND+9HRoWi2rS19BgMH0t/58tF7qwRvcDCwciVFi3V0aJtatQAHB6BuXXo/zuNlGOZzNEbcMgwjH4Qg0XT8OHDsGD2qhGnx4iRghw+nR3t7GnYPDibx+/vvQEhI8rBLEKyeAAAgAElEQVR4iRIksDp0oDQElYjNn5/E2Y0btOzZk/z369fJtmhpUbS2dGmqGFCvXvLfxYsnC9kCBfKeEEtIoIj148fJk8hUj48fA2fOkBhOObGsQAFK4yhblh6dnIBevejvfPnIbylTQnbuTP48jY2BKlWSReygQeSL69fJZ+fOAYGBwJIltL2JCQndevWARo0o0svpDAzD8GVAxri6uqYq5cJoLnnd348fAwcOAPv3A4cPk+hSKoFq1YC2bQFHR6B2bZqQpRKyvr70qBJflpYkmnx86HVVq9L2qkhhaCgNj9+4kZyHC5A4rViRRFeHDhQJTilgc2OThKzwt7Y2RWbNzNLf7vVr4O7d5GoSd+7Q/9u2UfqBKk9XT48+x8qVaWnWjMSsrq76ZL5jx4B//iFxratLvqpViyLov/9OIvj0aeDUKVr++AP45ReKtjdoADRuTIutbd67ofhW8vr5zTBZCYtbGePl5SW1CUwOktf8/f49RWQDAkjQXr5MQqVGDaBPHxIxDg6Us3r0KEUAx4whUQWQIK1Zk6J/tWrR3woF5byePw8sXUqPt29TJFhHh6ohVKwIuLvTo2opUkTSj+KbyEl/FyiQPBnsc+Ljk3Nyw8KogsS1a+TX6GjaJl8+utGwsyNROno0RdCvXqWbk7Nn6Tvg60vbm5uT/xs0AHr2pP+Dg+mm58gRErofPlDaRIsWlOvbtCmJX00lr53fTN4hPj4eOjo6UpuRKVjcyhhnZ2epTWBykNzubyFo+Hn/fhI+gYGUG1qiBNC8OTB+PEXuXr2i59auBfr3p2FxhYKEVevWJHhr1aLJUadOUYTv77+Bn3+mXFiAxJidHQmf6tUpMlipEglcTSG3+FtHJzkfN6VJqjrCly8DFy7QcuwY+erTJ8ovtrcH6tQB2rUDZsygKHtQEPk/MBBYt462NTOjKg0NGgCLF5PYDQoC9u6lZflyikI7OpLQbdGCJqxpUlQ3t/ib0Sw2btyI9+/fo2fPnl/dduLEiWjXrh3s7OxywLL0YXHLMIxkJCSQCNm+Hdixg/Jm9fSA+vVpqNnZmSZSHTxIZbdGjqT0BFU6QqdOJGgcHWloPCiIBNK0aSSahKDSW9WrA9260WuqV6f8T6VS6qOXNwoFlUsrVoyiqirevSOhq0o72LABUDWmMjcnsVunDkVxrawoD/foURK7fn4kdkuUoBxcFxeK5sfFJQvdiRNpXenSyUK3aVOKHjMMk8zBgwdx5swZzJkzJ0Pbjx8/Hm3atMHff/+NMmXKZLN16cPilmGYHOXNG4rMbt9Opbaioyny5uYGtGlD6QNnzwL79lF+682blNNaowbg4UEROgcHGuoOCgLWr6fUA1VU1tqaxO6IETTRiGfU5y0MDMi/Dg40KRCgWrtnziRH4sePp7QVPT0Suo0bA7NnU/Q9OJjE7sGD9N0A6KameXO6OVq3jvazdy9NEvz7b9pP06aAqyt9B0uUkOzwGSZXEBMTg9GjR+P06dNpPn/37l04OTnhzJkzKFWqFABAT08Pf/31F7p3747jx49DIeGFl2MXMmb79u1Sm8DkIFL6++lTYNkyShswMQHat6d814EDSYyEhFBEddEiqjzQsiWJ30aNgP/+IwG8eTPlv65eTbmxdnYkfu7fp1q127fTMPf16zQZqWdP2k6uwlaTzm8zM+DHHymCe/w4dXk7d45SFYyNgblzKdpvbk5/GxvTdykiAvj3X0pBWL6cvk9mZsBff1FO7759dPM0dSrddA0aRHm6tWsD06dTPnZeQZP8zUjPlClT0L59e+h9obi0v78/Xr16hWLFiqmtL1euHMzNzeHn55cTZn4RFrcyRuovH5Oz5LS/o6KoZFODBhQJGzCAUgemTiXRsGMH5cUOH07P//QT1UGdPJkmHF25QmL48GHKobWwoG0ePCARcuQIbX/qFIkeNzdKQWAITT6/dXQokj90KN3UREWR2J00iZ6bOpUiv9bWFL394Qf6HoWEUNT31St6bdmy9B2LjKRUlshIyuU2N6e0mPLl6SZq8mSqoJGb0WR/MznL+/fvsWzZMgwcOPCL2wQFBaFOnTppTjQbMmQIpk6dmp0mfhUWtzJm48aNUpvA5CA54e83b4A1ayiPsXhxwMuLhpmXLyfhMG8eCdJ27UhYjB9PDQyWLaP6qb6+NNz8888kfNu0oSoIDRoAW7aQiDl9moRHw4a0byZt5HR+q9JWRo1KTnU5dYq+XwkJVD7M1paivxERlHMbEUHCuH59YNUqagpha0uR4f796fu6dSuVLJsxg4SynR0wZw49l9uQk7+ZzJOYmIiVK1fi119/xcCBA7F48WKIlB1aUnDkyBGULVsWRdIpExMUFISGDRum+VytWrUQERGBa9euZYXp3wSLW4ZhvgshKPe1Tx8StD17kshdsIAmf82YQSWgatak1IMFCyiStmULpRGMHUsln+rUIfEwYwYJ3vnzqYnC3buUF9m+Pa1nmK+ho0Pfp3HjKL/7xQvKsW3Thh5bt6ZaxatX003SjRskart2pe2bN6eo7bFjNLLw7Bmlx5QrR/s0M6PJauvXJzcDYZjcyqNHj1CzZk0IITBlyhQsXrwYAQEB8PT0TNpmwYIFSX/v3bsXdevWTbWfTZs2oUWLFqhTpw6ePXuGAwcOoGXLllii6qryf5RKJRwcHLBv377sO6ivwBPKGIb5Jh4/pijtihUkQsuUIaHaowfNWPfzoxzHa9eoTmzHjiRQHRxISPz3H+DpSfm4xYtTWsGPP5LY0NWV+ugYTcLAgMSoiwvdXIWF0YjA1q1URUNXlxpKtG9P0d7792nimZ8f3WSVL0+TGadPp3zuzZvpu+/hQfm93btTykyVKlIfKfM9xMXRdyOnsbamqjDZwbt379C0aVM0adIEffr0SVo/bNgwNG7cGMOGDYOFhQVu3bqV9FxwcLDatio6deqETp06YenSpbh48SIOHjwI3S9crG1sbHDhwoWsP6AMwuKWYZgM8/EjsGsXCdq9e0kUdOhAkVUbG/rR79oVOHmSLtZt2wIzZ1IL1gMHgJUrafuYGCrj1L07pSjUqcOluZicQaGgqgqVKlF6wsOH1Eltyxagb19KcWjUiIRuaCjlfq9bR9UYvL0p/7tbN3rN69eUcrNiBaXUODiQyO3UKfvECpN9hIVRektOo5pQmx1MmjQJ9+7dw8SJE9XW29jYQAiBw4cPw8TEBK6urknPPX36FMbGxl/c55EjR1CzZs0vClsAKFSoEE6ePPn9B/CNsLiVMb1798bKlSulNoPJIb7H3zdukID991/Ke61Vi2acu7nRRJ1Zs2g4V6GgId1162jo9+xZ+tvdnYRA1ao0zNuunbxao0oBn98Zo3Rpmlw2dCjlfW/fTkLX05MmLtavTzds06bRiMPatVRmbvhw+q736QP8+itVXli6FOjdGxg2LDmaa2ubM8fB/v5+rK1JaErxvtlBQkICli1bhubNm6PoZ7NtCxcuDAB48uQJTpw4gX///TfpuWfPnqUrbo8ePYp+/fql+96FCxdGTEzMd1j/fbC4lTHc0UZeZNbfiYlUB3ThQhKuJiaUctC7N03SWbaM2py+ekV1ZX19KfUgPJwE7ahRJBbKlaP6ol270vAukzPw+Z15SpSg8nQDB9JN3I4dwMaNNMFRR4dydvv2JRG7fTvl7HboQFU6evSgCZN6esnR3IULaVTip5+Azp2zN5rL/v5+DA2zL4IqBbdv38aLFy/g6OiY6jnl/4fK1q1bh2XLlqk9p1Ao8OnTpzT3ee3aNTx9+hQNGjRI972VSmXSe0gBDwTKGHd3d6lNYHKQjPr7xQuKxJYrR0XtX72i/MKwMKoN2qsXFcXfupVEwK1b9Hx0NEW5atSgCG/HjlR4/+ZN6grFwjZn4fP7+zAxISEbEECpC1OmUAm7tm0pt/byZaqpe/kypSmsWkWVFbp1o0og167ROWJkRPspVYpu8rKrdi77m/mc2NhYAIClpeUXt2nQoEGqqgempqaIjo5Oc/vDhw9DR0cnacLZq1evEKHqoJOCFy9epKqBm5OwuGUYBgA1VVD9CP/2GwnVM2coCnv+PP1gDxpE0a0dO0jU2tjQsKyVFdUWrV6dcnEfP6aJOLVqceoBk/cpWZKE6fnzJGb79qVzwMGBUmyMjKhiyKZNQMGCQL9+VCt3zx7K0719m9atWkU3eS1a0IS2xESpj4zRZKytraGrq4v4+PhUzwUHB0OpVKJ48eKpnitevPgXxW1QUBDs7Oxg+P9hiHnz5kFbO3USQHR0NItbhmGkISGBhl3r1SNheuAA1QQND6euXz4+FK1dvZqGZu/coYk1x44BlpYUpdLRoTzEp0/p0cUFSONaxzAaQZUqVK7uwQPg0CFKyfnzT5qgtnQp1ci9dYvScg4cIAHcti2J2lu3SOC+eEGjIhUrUjrPmzdSHxWjiRQsWBBjxozBqlWrkPj/O6mXL19ixowZOHr0KDp06IB79+7h1atX8PHxSXqdg4PDF2vUJiYmJkWCz507h/z586cpkG/evImqVatm/UFlEBa3MiYoKEhqE5gcJKW/4+IoH7B8eRKxeno0+/v8eSqb5OhILXCfPKH8wXv3KN2gb1/6QV65ktITbtygH3gPDyB/fumOjUkNn9/Zi5YW0LgxnQtPn9INYFwc5eA6OlJlkaNHgf37aWRjwABK9bl6lSK8Z85Q7efhw2m0RFW54VthfzNpMWnSJLi7u8PT0xNjx47FX3/9hS5dumD06NFYsGABDA0NMXXqVAwaNCjpNS4uLggMDExzfxMmTMCjR48wevRoBAYGYtSoUam2EUIgKCgIjRs3zrbj+ipC5oSEhAgAIiQkRGpTcpw2bdpIbQKTg7Rp00ZERQnh7S1EkSJCaGkJ4e4uRGioEDduCPHzz0LkyyeEtrYQXboIceKEEHfvCjFunBCmpkIAQjg6CrF2rRDv3kl9NMzX4PNbGi5dEsLTU4iCBYVQKoXo0IHOpTt3hBg5Ughj4+T1ISFChIcLMXq0EEZGdE726CHE9euZf1/2dzJy/l3PCj58+CBMTEzEkydPvun1586dE+XKlcvw9hn1V2b8ypFbGbNhwwapTWByiBcvAGvrDbC0pCHVrl1piHTECMqVtbampgqjRlFKwqBBVJ+2bFkq+dW5M9X7PH6corT6+lIfEfM1+PyWBltbGhV5/JhSDi5dorQfd3fA3p4aRCxaRKMkNWpQGkPr1tQO+M8/gYMHaWJap05AZmrgs7+ZrEJXVxeenp6YP3/+N71+0aJFGDZsWBZblTlY3MoYQ64yrvG8eEE1OC0tgb/+MoSnJ+UKurpSeaKaNelHdskSyqetXJlq19avT+J36VL6kV6wgCaPMXkHPr+lJV8+ukm8fp0anxQoQAK3ShVqYnLqFHVAe/IEaNCAauaWK0fn4ZIlwLlzVJXE1TVjIpf9zWQlo0ePxp49ezJdqzY8PByhoaEYMGBANlmWMVjcMowGEhVFbUQtLalqgacn/Wja29NM7WbNSPhu3Eg/onFxJF47d6bZ3nv20Kzwfv240xLDfA9KJdCqFUVkL16kc+/33+ncPH6c8m937aJt27ShCiMFClApMVUJvmrVKDf+5k1JD4WREfny5cPSpUvRv3//DL8mMTERnp6eWL16dZoVFHISFrcMo0GoRG2ZMhRt9fSkSV/lylEL3I4dSbzu3w/4+5OwtbQERo+m58+fpx/hFi24HS7DZDVVq1Jzh/BwmkC2ZQulBC1fTudrYCBgZkZpQzY2wLt3FLX95x/gxAkaWenXj17PMNlN7dq10bdvXyxcuDBD20+dOhXDhg3DDz/8kM2WfR3++ZIxo0ePltoEJouIiaHatCpR6+VFUR4rq+R+98BonDlDqQZ+frTt0qU0i/vePWq8YGcn9ZEwWQWf37mXYsWoscmDB9Tp7/JlGlWZOhUYN45awNaoQeX3KlemWtHXr1NOrr8/VTkZNgx49ix5n+xvJjto3rw5vLy8MrTtuHHj0KRJk2y2KGOwuJUx5ubmUpvAfCcfP1LaQdmywJw5FKm9fZtq09arRz+O9epR+aHOnc2xaBFFivbvpwljDx/SBLNSpaQ+Eiar4fM796OvT+X1wsLohvPxY8q/HTqUmqNcvkxpCv360Y1n4cJ00/r771Qv18qKbmpfvWJ/M9IjdSpCSljcypjBgwdLbQLzjXz6BGzYQIXjR4ygLkk3b1IjBicn+mG0t6eZ2t7eFBGaOnUwDh6klqF37lB9zQIFpD4SJrvg8zvvoKVFObUXLlBkNj6eUoN69KA8+PPnqQpDz55A7do06nL7NjB4MN3UlikDvH8/GO/fS30kDJM7YHHLMHmMw4cpmuPuTnl5qt727dvTD2HFivQj+ccfwLRpNKx55AilK9y5Qz+IBgZSHwXDMJ+jVNKkslOnKPfd2JiaQri70+PZs5SS4OFBFU2qVSOR27UrpTNUqkQ3vUJIfSQMIy0sbhkmj3DpEnUNa9KEIj2BgSRex44FGjakH7SjR6k97owZJGqPHaNam3fuUMoC16dlmNyPQkHn+aFDJHTLlqUb2D59KH/+9GnA3JxuZl1cKMp75Qrwww8khOvUoUoMDCNXWNzKmLCwMKlNYDLAs2eUl2dnR7VnN28Gtm6lMkFVq1LJoI0baThzwwaK5gYFUfOF27ep1qaeHvtbbrC/NYM6dahU2MmTgIkJ1aEeNoxuao8fpzzcNm2AHj3CMGEC3eAmJlJk98cfuXwYI09Y3MqYMWPGSG0Ckw6JicDixZRm8N9/lFZw6hTl31WoAOzYAcybRzOrb9yg4coNGyhqe+sWTSbT00veH/tbXrC/NQsHB0pJCggAEhKAxo3pXP/7b2DnTuD69TGwt6cKKJs3A2vX0rXBxgYYMoTKBDKMXGBxK2MyWruOyXnOnqWJI4MGUfTl+nXKk61UiSaEDR9OgtbQkH68Jk+m4co7d4CRI9VFrQr2t7xgf2seCgU1gTh7lkZrLl+mjmeHDgHHji3E33/T35Uq0Q3uhQt0bVi9mmpdz5lDk9UYRtNhcStjuHRM7uPFC6o7W6cORW5PngQGDqQWnP36UX7drVuAoyOVDOrXj4Yfw8Io17Zw4S/vm/0tL9jfmotCAXTqROf9H39QrdymTc3x8SOtGzGC8vGrV6dRntu3aRLa6NFUReXkSamPgGGyl9xTlIxhZMynT9S56JdfaMhxwQLqJjZhAv1w2dpSfp2REZUDOnSISn6dOUOVExiGkR/6+nTN6NWL6t0OGQIsWkQR2t69qV7ujz8Czs40sbRPH7pZrleP8vhnzACKFJH6KLKP69evS20CkwGyw08sbhlGYi5epPzY06eB7t2B6dMpn7ZSJRK9CxZQqZ9Jk4CFC2nm9PbtFM1VKKS2nmEYqSlenG6CvbwoZallS6B5cxrNGTiQJqBVrQr8+itVWVm5ktp0b99O15TOnTXrWmJiYgJDQ0N069ZNalOYDGJoaAgTE5Ms2x+LWxkzY8YMjB07VmozZMuHD8CUKTR8WLEi/ejo6NDM59BQirxMm0YTSCpXBt68oWYMw4YBurqZfz/2t7xgf8sLlb8PH6ab41GjqDTYkCE0EXXuXLpB9vOjSWc3blDNa3d3YNMmqq5SvLjUR5E1mJub4/r164jS4Fl0q1atQq9evaQ2I8swMTHJ0lQqFrcyJi4uTmoTZMuZMzREeOsWDScOHEiRlOXLKU/u1CmaLNahA5X16tSJojDf0yaX/S0v2N/yQuVvhQJo25Zq386bR4J240b6OzSUJp46OQH9+1OlhY4dqQa2jQ2lLri7a0YU19zcXKPzznfs2IHq1atLbUauhSeUyRgfHx+pTZAdcXEUUalbl8RrSAh1GbKzS46eHDhA0ZXq1WmC2cGD9OP0PcIWYH/LDfa3vPjc33p6VAv32jWgZk26QR41Cli1ivJyN26k1KfERODqVarC4OFBObqRkdIcA5Nx+PxOHxa3DJNDBAbSMOHChZRusHMnPbq5kcC9ehXIn59SEJYvp+cuXKBORQzDMN+ChQXl1vr7U0OHH36gxjDnz1PVFXd3oEcPut5s2UKVFCpXBtat4za+TN6FxS3DZDOvX9OwX8OGlNN26RJgaUkTPPbto05jqpnMPXrQdmFhVLbnW3JrGYZhPqdNG7qBHjmScvednamUoL8/rbexAcLDqXauiwu1+23bFnjyRGrLGSbzsLiVMZqcbJ9bCAykMl6rV5OA3biRSvd07kx5b5cvA8+f0zY3bwJ791KXse9NQUgL9re8YH/Li4z429CQJrFeugSYm1Ne7po11Pmsf38Svm5uVIJw2zaaG2BjQylTTO6Cz+/0YXErY/r06SO1CRrLhw8UeW3UiKK0ly8DBQtSN6ETJ6g95uTJlN82ahRFUK5epYhJdsH+lhfsb3mRGX9bW1Ot7LVr6Qa8dm1ajh8HoqNpDsD161SmsEkTuhnv3h2IicnGA2AyBZ/f6cPiVsZ4e3tLbYJGcvkyNVaYP5+KpG/eTAK2Z0+qP3nlChARQXm2sbEkdufPp3zb7IT9LS/Y3/Iis/5WKGgC2dWrlKLg4QHMmkWpUsOHU/S2VSuqtrBmDaUvVK0KHDuWPfYzmYPP7/RhcStjuIxI1iIEsHgxzUxOTASCg6nigZ0dcPQosHUr5bp17kw/Hj//TKV5HBxyxj72t7xgf8uLb/V30aJUnWXrVipBWKMGXbdOn6ba2tWrAy9f0uRWS0uaEzB2LI1OMdLB53f6sLhlmCwgNhbo0gUYNIjaWp44QUN+TZtSuZ1Ll+iHwtaWatsePEh1Jw0MpLacYRiGUqSuXaNrVufOdKN+7Bjl4g4dSo9r1lAHxblzKY3hyhWprWaYtGFxyzDfyfnzFO3Yu5cmXnh5Ua7t/PnAn38C69dTl6CePall7uXLXN6LYZjcR5EiNOl1xQq6ltWrR7m2AQFUwcXODqhQATh7FkhIAOztSeh++iS15QyjDotbGbN8+XKpTcjTCAEsWUJpBQUKUIrBixckdN+9o5nGFStSnlpgIOXe/vsvYGwsjb3sb3nB/pYXWeVvhYJaf58/T9equnWp2cyFC3TT3q4dsHIljU4NHAiMGEG5uTx5P2fh8zt9WNzKmNDQUKlNyLPExlLx84EDqdLBzp10kR84EOjViy78y5ZRbckaNSha26GDtDazv+UF+1teZLW/y5en69ioUdQavGNHGo3y9aWb+saNqX73vn3AuXPJebpMzsDnd/oohJB3D5LQ0FDUqFEDISEhnKDNZIgLF+hC//QpdRIzM6MctffvaTjP2ppaXV6/DsyZQ4JXE3q1MwwjT44cofSEuDjgn38AKyu6xj19SjW8Ve19z52jigtDhvA1j8l6MqPXOHLLMJlg1SqgTh1KQwgJAR4+BBo0oBaXFy4kzy5++5aiGIMG8UWeYZi8TaNGNCm2USMagVqyhNr0Nm9OE9H++osaQXh5AcOGAV27UmoWw0gFi1uGyQDx8TRjuHdvaku5bx+Vwxk5ki7me/YAPj50UW/ThoSvnZ3UVjMMw2QNhQsDW7YAS5dStLZ5c2DaNGDmTKrn7eoK/PorzS3w9wfq1wcePZLaakausLhlmK/w4gV1DvvrL2DRIuo8Vr8+RSq2b6fSX46ONFls6VJg3TqK7DIMw2gSCgWVBDt9muYd2NtTbm5AQHLVGCsrICgIiIykdIXgYKmtZuQIi1sZ4+rqKrUJuZ5Ll+gCfekS1aYtU4bqOyoUVA5HdYH/+JGqI/Tvn3vTENjf8oL9LS9y0t92djQ61bgxVU/Yu5cEb9GiVD7s0iUStRYWFAjYsCHHTJMNfH6nD4tbGePl5SW1CbmaLVuozJeREU2UOHOGSt7Ur0892OfOBXr0oJyzc+eo5Fduhv0tL9jf8iKn/W1kRF3N5syhKgo9e5KI9fCgijGTJgH791OOrrs7tfPlerhZB5/f6aMttQGMdDg7O0ttQq7k0ydg4kRg8mSqgrBwIc3+9fMDfvuN2ua6uVFk4u+/c3e0NiXsb3nB/pYXUvhboaBW4rVrU7UEBwdqWlO7Nk0uu3CBggRVqgDjxlEHtDVrgHz5ctxUjYPP7/ThyC3DpOD1a6BtW2DKlOTJEs2bAzt2UMeeVq2AWrWAe/eoMcNPP+UNYcswDJNd1K1LObfVqgHOzpRvGxgIhIdTWlfjxjQ/ISCA0hbCw6W2mNF0WNwyzP959IhSDo4eBXbtokliNWvShLKTJ6mObYMGgKUl5Zs5OEhtMcMwTO6gaFGqGvP777TMnk0C19wccHKi+QknTwIxMRTZ5R4ETHbC4lbGbN++XWoTcg2XLlH92hcvqCtPdDRFGypXpvSDrVspv9bDgwqalyghtcWZh/0tL9jf8iI3+FtLC/D2BrZto0lmHTtSFRl3d2oC8e+/JHDNzSmQsGuX1BbnXXKDv3MzLG5ljJ+fn9Qm5AoCAihKW7QozfjduZMuxN27U73GoUOBP/6gNIXlywFdXakt/jbY3/KC/S0vcpO/27UjERsdTdfWn36iiWezZ9OchV27gKZNae7C4sVSW5s3yU3+zo1w+11uvytr/PwoIuvsTPVpx46lWrU+PtQ2t21bGj5bs4aiEAzDMEzGePYMaN+eqsn4+VFgoHNnoGJFmscwaxZVWhg1ihpBKDncxqQDt99lmAzw11+UZuDhQcLWwwNYsQJYuZKEbO3awO3blIPLwpZhGCZzmJoCBw5Q18b27YEHD6iMYmQkzVno2xeYN48iul260LwGhskKWNwyskMIqsHo6Umtc6dNoyGy48eB3buB0qXpwmtoSLVta9eW2mKGYZi8ib4+1b8dMgQYNIja854+DRQpQpUTqlalHN1du4AmTYCoKKktZjQBFreMrPj0iQStqo7tTz9RGZvHj4Fjx6higosLCdoTJ6gyAsMwDPPtKJXU9ObPP4GpU6le+OHDFERwcaHr8pEjwAZ/6vIAACAASURBVK1bdD2+fVtqi5m8DotbGdO7d2+pTchR4uOpc46vL6UkNGxIF9J8+SiSEBAA9OlDy+7d1IFHk5Cbv+UO+1te5AV/jxxJTR7Wr6cKCn5+NPmsY0eqWHP6NAlhR0fg8mWprc3d5AV/SwmLWxkjpw4n795RzpefH11YrayAZs1oSOz4cepCNnYstYhcsgTQ1sDefXLyN8P+lht5xd/u7sC+fVRNwdmZIroDB9Io2saNdD0uWZJqip85I7W1uZe84m+p0MCfcCajuLu7S21CjhAbSxMagoOpzNebN/S/iwsJ3aFDaSLZvHn0t6YiF38zBPtbXuQlfzduTCK2RQvKuw0IAExMgPHjaVLZ4cNA69Y0F8LfH2jUSGqLcx95yd9SwOKW0WhiY0nEXrtGs3Zv3gT69aNyNEuXUhkwf38qLt6tm9TWMgzDyIMffgBOnaL25k5OdH02MAB++YVSyPbvB378kQTwjh20HcNkFE5LYDSWz4XtlSuUT9u/P+XcurpSF53t21nYMgzD5DQWFjSRt1gxSkNo0oTKgk2bRp3O/P0pfaxtW5pwxjAZhcWtjAkKCpLahGzjc2EbGkqdcQYPpjJgTZvSuoAAGv6SA5rsbyY17G95kVf9bWpKwrVCBUpXqFkTWLCAKiuMHUulw+rXp+t0Hj3EbCGv+junYHErY2bOnCm1CdlCesJ27Fi6UEZEAIGBNBwmFzTV30zasL/lRV72d6FCdK2uWZPSDypWpLa8qu5l27ZRecaWLXmSmYq87O+cgMWtjNmwYYPUJmQ56QnbMWNoYsLbtxQB+OEHqa3NWTTR38yXYX/Li7zu7/z5qQRjkyY04bdYMeCffyiFbMQIyrutWpXEb2io1NZKT173d3bD4lbGGBoaSm1ClpKesB09murafvhAEdty5aS2NufRNH8z6cP+lhea4G99fYrSqmrf6utTO/R//qHmO7t2UVTX2Znr4GqCv7MTrpbAaASvX39Z2I4aRcI2MZGELXcdYxiGyZ3o6ADr1lFznR49qO74v//S3wCwZw/NmWjalK7n1tbS2svkTljcMnmed+9oGOvqVeDgQXVhO24czcL99IkuhBYWUlvLMAzDpIeWFkVr8+cHBgygso1r1gDdu9NzAQGUYta4MVVbkONIHJM+nJYgY0aPHi21Cd9NfDzQqRNw9izd0YeFJQvbiRNp+OrtW+DQIRa2muBvJuOwv+WFpvlbqaTGOl5eJHDj4ylFYdkyurYfPAgULEilwh4/ltranEfT/J3VcORWxpibm0ttwnfx6RPQqxcV+/b3B6Kjgd69gb59gT/+oGGryEi6s7eyktpa6cnr/mYyB/tbXmiivxUKKgsWH081ytesoYhuv36UvhAQADg60iSzwECgcGGpLc45NNHfWYlCCCGkNkJKQkNDUaNGDYSEhKB69epSm8NkECGoVe6iRcCGDUDx4hSlbdECWL0aaNUKuHSJ6idWqya1tQzDMMy38ukTNd9ZtYrq3j5/TiN0v/5KDXgcHalO7oEDlKvLaCaZ0WscuWXyJHPmAL6+NNmgfHnKq3VwoItfx47JDRpY2DIMw+RtlErKu337FujalUbrZs2iKjhGRtRpsnFjoH17GsXT1ZXaYkZqOOeWyXNs2kQVEMaPp5qILi4kcLdupTSFo0epJmLdulJbyjAMw2QFWlo0KufoCLi5USrCb79R/fLQUGqjfuQIVVVITJTaWkZqWNzKmLCwMKlNyDTHj9OMWQ8PYNAgmkxgbEyTyYYOBXbupGGrJk2ktjT3kRf9zXw77G95IQd/6+lRHVwrKwpq9OtHk4cHDgRevAD8/Oj6P2QIpa5pMnLw9/fA4lbGjBkzRmoTMkVYGN2x16sHzJ5NF7eEBEo/+PNPYO1aqofYpo3UluZO8pq/me+D/S0v5OLvggUpmKGnR9HbCRMoVaF7d8DEhNIX/vqLKipoMnLx97fCObcyZuHChVKbkGGePqXJYiVKAOvXU27VkycUyd25k/Kv5s4FunSR2tLcS17yN/P9sL/lhZz8Xbw4BTXq1qVgxt699Hvg5gacPAnMmAGMHQsULUqRXU1ETv7+Fljcypi8Ukrk7VugdWtqnXv0KLVhDAmh/Kpbt2gIatgwWpgvk1f8zWQN7G95ITd/lytHEdyGDaliwsaN1NihRQvg1CkKiAwbRh0pNXE0T27+ziwsbplcTWIiRWPDwqhe7dKldBHbsoVqIHbpArRtS2kJDMMwjHywt6cc3FatqHLCnj1UNcfVlQIh9+4B7u40wseVc+QF59wyuZpffqEhp82bgfPngalTgZkzATs7uhuvVo1ybbW0pLaUYRiGyWmcnakE5KpVVE1h505qxT5gAM3BqFyZRv4iIqS2lMlJWNzKmBkzZkhtQrqsX08R2T//pMLcAwbQ0rs3DT0ZG1PJLwMDqS3NG+R2fzNZC/tbXsjZ3x4egI8PTS67dYva9K5bRxPL/P0BbW0KhsTFSW1p1iFnf2cEFrcyJi4Xn+mhodRGt3t3mjzWoQNVSZg5k4acXr2iiK6JidSW5h1ys7+ZrIf9LS/k7m9V1YSePSnPdtw4mlR2/jywaxdw8yZ1OdOUEmFy9/fX4Pa73H431/HsGeVSFStGM2KbNaN2i8HBVMt2xw6aTFa7ttSWMgzDMLmF9++pU9nduzSpbMgQyrc9cwa4eBHo3Jm6Ww4fLrWlzLeQGb3GkVsmVxEfT+1zP3wA/vuPLk7XrlH3meXLgQ0bKK+KhS3DMAyTEn19+q0wMKCyYEuWACVL0mifszNNOhs9moIjjGbD4pbJVQwfTnfcW7dSm921a0nURkQAv/5K7RY7dpTaSoZhGCY3YmpKaQgPHtAcjf/+o9FAd3dg8mQqHdapE08w03RY3MqYqKgoqU1QY/lyYNEiwNcXePeO7rDHjKHKCB4edPft4yO1lXmX3OZvJnthf8sL9ncyNjYUHNm7l6K3GzdSittvv9Hon74+id2EBKkt/XbY3+nD4lbG9OnTR2oTkjhzBhg0iO60mzal3ChnZ2D8eKBdO6B0aSrrouRv7DeTm/zNZD/sb3nB/laneXNgwQJg3jyqdztrFi2HD5PAPXUK+P13qa38dtjf6cNNHGSMt7e31CYAAKKjaZioenVg+nTAyQkoUoRKgf38M/DoEXDuHFCggNSW5m1yi7+ZnIH9LS/Y36nx9KQ5G4MHA4GB1PSnb1+anDxlCtVRr18fcHGR2tLMw/5OHxa3MiY3VIcQAujVC3j9moaORo6kma7BwYCfH91hb9gAVKwotaV5n9zgbybnYH/LC/Z32sydC1y4QOUkAwOT/z51iv7v3p3WmZlJbWnmYH+nDw/yMpIyZw51lFmzhtrrrlhBhbffvKG+4IMHU4oCwzAMw2QWXV3qcPnpE9CnDwVR7t8HBg6k3x09vbyff8ukhsUtIxlnztCw0OjRQIUKlILQowe1SuzYkdIU/vxTaisZhmGYvEzJkiRwT52iNr3//EMdzDZvppHBkycBHuXXLFjcypjly5dL9t5v3gDdupGAnTCBcm5LlQIWLiSB++YNzXbV1ZXMRI1DSn8zOQ/7W16wv9PH0ZEmlM2dC+TPT/m4w4ZR5HbyZGDqVGD/fqmtzDjs7/RhcStjQkNDJXvvESOAJ0+oju0vvwBhYSRmfX2pfMu6dYC5uWTmaSRS+pvJedjf8oL9/XWGDgXatKF5HiNGUJnJDh2Afv2oukK3bsDjx1JbmTHY3+nD7Xe5/W6Os2MH0LYtsHQpUKgQpSAsXgxYWwNNmlCzhkmTpLaSYRiG0TRevCBRW6YMdbusWROoVQtYuZJGEq2tqSaulpbUljKfw+13mVxLZCTdJbu6kpDt25fEbefONGvVyQmYOFFqKxmGYRhNRFVm8sQJErfr1gH79tHf//5LrXlnzZLaSuZ7YXHL5BhC0GxVLS3qGuPuTheaf/6h/KfXr2n2Kt8xMwzDMNmFkxM1cJg8mUYPR4+m7mXGxpQmN2ECTXhm8i5c55bJMRYvpnza3btJ0IaE0N3z7t1U03b9es6zZRiGYbKf8ePpt6d7dxKyAQHU5v3MGepi5u5O9W8LFpTaUuZb0KjI7du3bzFx4kS0aNECRYoUgVKpxJo1a6Q2K9fi6uqaY+91/To1aBg0CDA1Bf74gy4uxYvTuq5d6WLCZB856W9Getjf8oL9nTl0dGikMDycorjr1lH9219/pWBLVBRVU8itsL/TR6PEbVRUFP744w+EhYXBzs4OCoVCapNyNV5eXjnyPgkJdHdsYUETxbp3B6pWJXHbsyfdGS9alCOmyJqc8jeTO2B/ywv2d+axtgZmzqQqPY8eUa7twoXA7dtUMmzlSsDfX2or04b9nT4alZZQsmRJREZGwtTUFCEhIahZs6bUJuVqnJ2dc+R95swBzp8HTp+mWoL37gGhocCCBdSV7PBhynVispec8jeTO2B/ywv297fh6UkVfHr3Bi5fBrZtAwYMoL//+w/o3x9wcACKFpXaUnXY3+mjUZFbHR0dmJqaSm0Gk4Lbt6n6wfDhNKFs3jyK3n74QAn8o0cDDRtKbSXDMAwjR5RKitC+eUPt3pcupRrsv/9Oc0MSEqhVr7yLpuY9NErcMrkLIYCffgJKlCAh27cvUK0a4OVFxbIrV+Z6tgzDMIy0lC5N6Qjr1tEoo48PBWIiImgi9NatwJYtUlvJZAYWtzJm+/bt2br/FSuoZuDSpZTTdP06sGwZ8OefwM2blMyvp5etJjApyG5/M7kL9re8YH9/Hx4e1K3s559pgrOdHdVkb9cOcHMDhgwBXr2S2spk2N/pw+JWxvj5+WXbvp88AUaNojaHZmZUT3DMGBKzU6bQ31WrZtvbM2mQnf5mch/sb3nB/v4+FAqK0uro0OjismXA1avJk8zevAHGjZPaymTY3+nD4vb/tGzZEq6urmqLg4NDqrujgICANEtweHp6Yvny5WrrQkND4erqiqioKLX1EydOxIwZM9TWhYeHw9XVFWFhYWrrfX19MXr0aLV1cXFxcHV1RVBQkNp6Pz8/9O7dO5VtnTt3TvM43r17l23H0atXGHR16cLQrx9gZOSLuLjR+OknqmX7229Zdxya4o/sPo6NGzdqxHGkhI/jy8exceNGjTgOQDP8kd3H8e7dO404Din9YWIC/PUXsGOHJ5YsWY5Royh17u1bYODAUCxZ4oo9e3LHcaS8nmuiP/7H3p3H2Vi+fwD/zBjGjH2dbBPZy75LJWJSGClCtiwhoaihTUgqUvZSEgljN6GFFCGSTFmzZGeIkbWxjTm/Pz6/8z2WccyMM+c557k/79drXjNzzjPjnq6e81znfq77uqOjo/+XixUrVgyVKlVC3759b/o9txLgcNizTNrZLWHq1Kno0KHDLY9LzV7FkjIxMbyVM3s2cPw4i/R//hnYsYOrUH/6CahXz+pRioiI3Ozpp1lSt3Ej0KABEBbG7+vUARISWJcbZKteU/4hNfmaZm7Fo86c4aYMTZsCtWrxNk6PHkDJkixF6NxZia2IiPiu8eO5IDoqih0T1qxhmcInn7BUYeJEq0cot6PkVjxq6FDg7FluytCzJ5AjBzB8OGdvg4NZpiAiIuKr8ufnIug5c3g969oVePVVoHBhdv156y3g5EmrRynu2C65nTBhAoYNG/a/OpNFixZh2LBhGDZsGM6dO2fx6HxLcnUwd2LnTmDMGO48tnkz9+0eO5a3c+bP53O5c3v0n5RU8HS8xbcp3mZRvD2rdWugUSMuLhs4EMiQARgwgAuik5L4mJUUb/dsVzUycuRIHDx4EAAQEBCAhQsXYuHChQCA9u3bI1u2bFYOz6d4eoeTfv34zvaFF4Bq1VirFBEBlC0LPP440KqVR/85SSXtaGMWxdssirdnBQTwDuR993EW9/332be9a1duTPTKK1xDUrGiNeNTvN2z7YKylNKCMs/49lugcWPO0O7eDbzxBmdvZ8zg9rt//QUULWr1KEVERFLuvfc4S7thA9ePXLzIreSrVGH5wsqVTIQl/WlBmXjV5cucta1XD6hZk3W3vXsDmTMDH37IonwltiIi4m9efhkoU4Z3JCdMALZs4SKz0aOBVauAuXOtHqEkR8mt3LHx4zlbO2YMi+5DQ123bfLlY52SiIiIv8mUiWtH1q3jzpo9enAmt0IFIDKS17mEBKtHKTdScmuwG5stp8Xx49yHu0cPriqdPp23cTZuBBYuBEaMALJk8cBg5Y55It7iPxRvsyje6ad+feDJJ9nO8rXXmPD278+Su3/+4XXO2xRv95TcGmyEB87IN9/kKtJBg7j3dtWqQPv2wEsvseF169YeGKh4hCfiLf5D8TaL4p2+Ro4E4uOBzz5je8vp04EjR1iSN3w48P/r2L1G8XZPC8oMXlCWkJCA0NDQNP/8li1cKTp6NBASwpWkv/zC3Vt692YBftWqHhyw3JE7jbf4F8XbLIp3+nvzTSa5O3YAzzwDnDsHrF4NlC7NzkBffeW9sZgYby0okxS50xNj4ECgWDGgQwc2tW7blif5wIHciUyJrW8x7YXQdIq3WRTv9Pfqq9yYaMgQtgfbuhWYNw945x3O5G7Y4L2xKN7uKbmVNFm/Hvj6a57kn37K3VqGDgUGDwauXmWjaxEREbvImpWTN9OmsRvQM89wYqdVK6B8eZYomH0v3HcouZU0eeMNNrd+7DHWGz33HJCYyL2333wTCAuzeoQiIiKe1a0bEB7O69ywYZzYGT2abS/XrAEWLLB6hAIouTVaVFRUmn7uxx/58c47wKhRbGr95pv8KFCA9bbie9Iab/FPirdZFG/vyJSJdyljYoBjx3i9GzGCrcEaNeL284mJ6T8Oxds9JbcGCw8PT/XPOBycta1eHahVi+9Y+/QB4uKAOXNYppA5czoMVu5YWuIt/kvxNovi7T1t2rAM4dVXeT3MmJHb8773HnvhTp2a/mNQvN1TtwSDuyWkxaJFQLNmwA8/AIsXA19+Cezdy5qjI0e45W5QkNWjFBERST9LlgBNmwLff881KO++y2vhK69w57Ldu9lFSDxH3RIkXSQl8V1q/fpAyZLAxIncWnfLFmD5ctYfKbEVERG7a9yYvdxfe413L0NDOXP79tvc2GH8eKtHaDYlt5Jis2ax9cmwYSw/yJkTePFF1h9VrAg88YTVIxQREUl/AQEsRfjjD2DpUuDll7nBQ+bMQNeufO78eatHaS4ltwbbsWNHio9NSmIS27gxkCcPyxHeeAPYtImLywYO5Mkuvis18Rb/p3ibRfH2vgce4DVx4ECgZ0+2Cnv/fc7mnjvHu5vpRfF2T8mtwfr375/iYxcs4K4sb77J1l/587MlytChbAnWvHk6DlQ8IjXxFv+neJtF8bbG0KGsr120iNvOT57M2duOHbmb2YUL6fPvKt7uKbk12PgUFgU5HCyWf+QRoHBhNrDu14+Lx5Yu5bvWQP2f5PNSGm+xB8XbLIq3NSpXZkne0KFA9+5AhgzAmDHspHDiBJPd9KB4u6eUxGApbSXy3XesK3rjDeCjj4AsWYAePXgylykDtGiRzgMVj1DrGLMo3mZRvK0zaBCwZw/wzTdMcCdMAPLl4w5mw4cDly97/t9UvN1Tciu3NXw4e9pWqMCC+V69eBtmyRKWKWTIYPUIRURErFGpEkvzhg5l54SEBG5LP2AAcPgwMG+e1SM0j5JbcSs2lj37XnkFGDeOC8v69OFJXLIk+9uKiIiYbNAgYN8+Xi87dOBdzhIlgAYNuNmR2TsKeJ+SW4MNHz78tseMHg0ULcoTdOxY4LnnuOVgTAzLFNTX1n+kJN5iH4q3WRRva1WsCDRpwl63r7zCXrfTprFd5oYNwK+/evbfU7zdU3JrsISEBLfPHz3K3ra9e7Mo/tw59vIbNYoLy555xksDFY+4XbzFXhRvsyje1nv9deCvv9hZ6KmngBEjgEcf5QzumDGe/bcUb/e0/a62372lgQM5c7t3L2uKIiLYwy88nGUJ6kQiIiLi8vDDrLn95BOgWjVg9mzO4vbtC+zfz4khSRttvyt37MIFNqDu0gX49lsgLo7F8Z98wlKE556zeoQiIiK+5fXXWYZw9izQsCEnhJ59ll2GJkywenTmUHIryZo+HTh5kiUJY8YAjz3G2tuPPwY6dQJy5bJ6hCIiIr6lYUOgXDne9YyKYhvNjRuBzp3ZbUjVBN6h5NZg8fHxyT7ucPDEbNaMdbd//MEOCTNnAvHxLJAX/3OreIs9Kd5mUbx9Q0AAr5GLFwPFijHR/egjThSdOgXMmOGZf0fxdk/JrcE6d+6c7OM//ABs386tBMeMAUqXZr3t6NFcDVqypJcHKh5xq3iLPSneZlG8fUfbtkDu3MD48ay1XbIESEwEIiM91xZM8XZPya3BBg8enOzjH3/MtibFiwMLF/Id508/AVu28EQV/3SreIs9Kd5mUbx9R0gIdyr74gugaVPuVjZmDO+Abt8O/Pzznf8bird7Sm4Nltxqw2PH+C6zWzdg6lQgOBho357tvypW5EpQ8U/qBmIWxdssirdvef554L//OEHUsyevp1WqAKVKcfeyO6V4u6fkVq7z5ZdAxoxA69bsbduqFXD8ODsmvPQS64lERETk1goX5kLszz9nd6FLl7hQu3t3YP58Xlcl/Si5lf9xOJjQtmjB1Z379wNdu/LkzJVLW+2KiIikVNeubAt24gTwxBNspdmxIxAYyJlcST9Kbg02efLk675fvRrYvZu9bT//HLj3XjahnjKFe2WHhFg0UPGIG+Mt9qZ4m0Xx9j2NGwNhYZw06tmT9bZbtwItW7ItWFJS2n+34u2ekluDxcbGXvf95MncJvDee1kn1LUrEBPD2yfdulk0SPGYG+Mt9qZ4m0Xx9j0ZM3Kmdvp0oHZtdh6aOBHo0QPYs4cLtdNK8XZP2+9q+10AwOnTQMGC3HI3OBh47TXgyBGgTRvg4kXO6oqIiEjK7drFpHbmTF5T33yTC7cfeAAoUwaYN8/qEfoPbb8rqRYdzYL3jh1ZktC8OZPaH3/kjmQiIiKSOqVKAQ89xOtq27bAlSvAnDmcvf36a26UJJ6n5FYAsCShcWMuIvvrL5YkREdzFrdFC6tHJyIi4p+6dmUJwoUL3BDpyy+Bdu1YtvDFF1aPzp6U3Aq2bWN3hE6deKIVLQrUrw989RW34M2e3eoRioiI+KennuJ1dPJk3h1du5YdFNq04Yyu2cWh6UPJrcEiIyMBcIY2Z06gQQP233vmGe5GtmUL312KPTjjLWZQvM2iePuu0FBeV7/6ilvwZs8OzJjBRHf/fia7qaV4u6fk1mC9evWCw8Hk9qmngFWruLCsdWuu7sybF3j0UatHKZ7Sq1cvq4cgXqR4m0Xx9m1t2wKHDvEuabNmwNy5XFRWuDAXm6WW4u2ekluDRURE4LffgL17eXtk1iy2Abv3Xp5srVuzJkjsISIiwuohiBcp3mZRvH3b/fcD4eG8trZsyZ63O3bw2jtnDheapYbi7Z6SW8PNmgXcdRdQsyZ72rZqBaxYAcTFAe3bWz06ERER/xcY6Epk69VjacLcuSxXiI8HfvjB6hHai5Jbgzkc3KzhySeBZcuA8+eZ3H71FVCyJFC9utUjFBERsYdnngH+/Rf4+WfW3s6dC1SsyH63c+daPTp7UXJrsNGjY3DgAPe8njULqFyZt00WLOBCsoAAq0conhQTE2P1EMSLFG+zKN6+r3x54L77XKUJ27axNCEyEvjmm9Rtx6t4u6fk1mCTJ0cjRw6gWjVgyRLW2P74I2dwW7a0enTiadHR0VYPQbxI8TaL4u37AgI4exsTA9SpA2TLxhnbpk3ZGuy331L+uxRv95TcGiwoaDYaNwa+/57NpZ9+mmUKpUsDZctaPTrxtNmzZ1s9BPEixdssird/aNMGSEhgKWDTpkxua9cG8uQBFi9O+e9RvN1TcmuoffuATZtYkjB3LheUFS4MLFrEx0RERMSzihVjMussTdi6Fdi9G3j88dQlt+KekltDLVoEZMoEPPwwsHQp0Lw5G0nHx/NrERER8bw2bXjHtGZNIGtWV2nCli3AgQNWj84elNwaKiaGO5Jt2MBbJJGRLEkoUEBdEkRERNJL8+ZAYiKwciXQuDGvvY8+yr7ymr31DCW3Bjp50rkbWScsWgQUL85WJDEx3DklUP9X2FKnTp2sHoJ4keJtFsXbfxQuDFSpwjuozZoBf/zB3UHr1k15cqt4u6c0xkBLlrDHbdu2EVi8mLO2mzZxj2uVJNiXdrQxi+JtFsXbv0RGAt99BzRsyBnbRYuAJk04m3vu3O1/XvF2T8mtgZYtA6pWBR54oA3i4nhbJCYGyJGDNbhiT23atLF6COJFirdZFG//0qwZcOYM8OefvO5+/TXrbi9fTtluZYq3e0puDeNwsJdtgwbA8uVA5szst7doEVdrZspk9QhFRETsrWJFoFAhLixr1owztnnysBXn0qVWj87/Kbk1zLZtwD//AI88wneHDz7Id49//AE89pjVoxMREbG/gABeh3/6iXdPExM58RQRwburDofVI/RvSm4Ns3w5EBzMjggrVqxBw4auWyAq4bG3NWvWWD0E8SLF2yyKt/+pX59lCdmycVG3swZ3/35gzx73P6t4u6fk1jA//sgyhD//BC5dGoEGDXgLpFIlICzM6tFJehoxYoTVQxAvUrzNonj7n3r1OEO7ciXQqBFLFOrWBYKCbl93q3i7p+TWIFeu8CRq0IAnTp48s1ChAr9+9FGrRyfpbdasWVYPQbxI8TaL4u1/wsOBEiVYmtCoEXD4MHDoEHcwW7bM/c8q3u4puTXIhg3A+fOs81m+HGjQIBQ7d7pqcMXeQkNDrR6CeJHibRbF2z85624feogLvJcuZWnCTz+xDvdWFG/3lNwaZPlytvu65x4mug0bcjOHoCDg/vutHp2IiIhZ6tcHduwA/v0XqFWL1+SICODsWV6nEKv36wAAIABJREFUJW2U3Brkxx9Z47N6NZCUxPKE1au5U0qWLFaPTkRExCz16vHzihWst3Vek3PmvH1pgtyakltDXLoE/Porm0X//DNQrBgwblwUVq1iOzCxv6ioKKuHIF6keJtF8fZP+fIBFSq4ShP+/ZczufXru19Upni7p+TWEJs2ceeTWrWY5N5/P5A1azgOH+YJJfYXHh5u9RDEixRvsyje/qt+fSa3tWpxK96ff2bZ4K+/3norXsXbPSW3hli/nruPlS0LxMbyJCpevDcAtgYT++vdu7fVQxAvUrzNonj7rwceAA4cAE6fBqpWBX75hSUKV6/y2p0cxds9JbeGWL8eqFyZO5RducJWI6tXA/fdxy3/RERExPtq1+bndeu4wdLGjdyGN1cuJrqSekpuDbF+PVCzJm9zhISwxmfVKpUkiIiIWKlgQfa8XbcOqFYN2L2b3RLuvx9Yu9bq0fknJbcGOHkS+PtvJrfOk+fUKWDnzh1aTGaQHTt2WD0E8SLF2yyKt3+rXdt1fQZYPlinDh+7evXm4xVv95TcGuC33/jZOXNbq5bzsf7qb2uQ/v37Wz0E8SLF2yyKt3+rXZvlCMWKsTXn77/zsXPngO3bbz5e8XZPya0B1q8H8uYFgoNdW/vFxgI5c46HFlyaY/z48VYPQbxI8TaL4u3fatViy87Nm9nn9vffuU4GAP788+bjFW/3lNwaYP16oEYN16rLWrWY3FavHo6AAGvHJt6j1jFmUbzNonj7t8qVOQHlLE34/XfXjqLJJbeKt3tKbm3O4eAWfjVqsBShSBGgQAHgjz9c7wpFRETEOpkysQ2YM7ndt4/rZSpV4vVaUkfJrc0dO8YTpEIFvvurXBmIjwcOHuStDxEREbFecovKKlfmtdvhsHZs/kbJrc1t28bP5cpxl7KKFV3vAn//fbh1AxOvGz5c8TaJ4m0Wxdv/1arFdTHZsgHZs/Oua8WK7G50+PD1xyre7im5tblt24DMmbn68p9/eKLExvLkCQlJsHp44kUJCYq3SRRvsyje/q9iRX7esoXlCJs3A2XK8LGdO68/VvF2T8mtzW3bxpNj61Z+70xuK1cG3n57iLWDE68aMkTxNonibRbF2/8VL86JqM2buXvo1q1sDZYxI3BjW1vF2z0ltza3bRtPku3bOYN7zz2u5FZERER8Q2AgUL48SwjLlQN27WKtbcmSNye34p6SWxtzOFzJ7a5dPEEuXOBuZZUqWT06ERERuVbFikxu77sPuHKFW/GWKXNzWYK4p+TWxuLigDNnXMlt6dL8DABlywLx8fHWDlC8SvE2i+JtFsXbHu67j4mss9Z261Z+fePMreLtnpJbG3N2SnAmt6VKAX/9xcfKlAE6d+5s3eDE6xRvsyjeZlG87aF0aeDyZSAhAQgLc62bOXyYW/E6Kd7uKbm1sa1bgZAQIH9+thcpVYrv/goU4M4ngwcPtnqI4kWKt1kUb7Mo3vZQsiQ/79rlWlRWurTrMSfF2z0ltza2ezdPlL17+b0zuXXe7qiiXRyMonibRfE2i+JtD+Hh3K1s1y4uKtu2zZXcXluaoHi7p+TWxvbuZWsR57u90qX5WIkS1o5LREREbpYhA6/Rzpnb3buB4GDecdWispRTcmtje/ey9deuXUCePEDu3MD+/cDdd1s9MhEREUlOsWK8VpcrByQlMaktXVrJbWooubWpxESeHM7ktlQp4Px54ORJoGhRHjN58mQrhyhepnibRfE2i+JtH0WKcJ2M8y7rvn38es8e1zGKt3tKbm3q8GEmuMWKsa9tyZLAgQN8zjlzGxsba90AxesUb7Mo3mZRvO0jPBw4eBDIl4+LwvfvZ4nh33+zfz2geN+OklubOnKEn4sU4deFC7uSW+fM7YQJEywZm1hD8TaL4m0Wxds+ihQBTp1iO7CiRV3J7ZkzwL//8hjF2z0ltzZ19Cg/33UXN3MoWJAnSFAQC9NFRETE9xQpws+HDrmSW2eJwrWlCXJrSm5tKi6OKyyTkriFX6FCnLkND+dqTBEREfE94eH8fPAgywgPHOD6GcDV2lPcU3JrU0ePumZtAdfMrToliIiI+K5ChYCAAM7choUBx48D2bMDWbO6Sg7FPSW3NnX0KMsPnCdCoUJMbp31tgAQGRlpxdDEIoq3WRRvsyje9pEpEyenDh0C8uYF4uP5eOHCXCwOKN63o+TWpo4e5WztkSNAYCDf/cXFMcl16tWrl3UDFK9TvM2ieJtF8baXIkVcHRMuXwbOnWNye+gQn1e83VNya1POmdu4OCa2GTLw3V++fK5jIiIirBugeJ3ibRbF2yyKt704e93mzcvv4+Ovn7lVvN1TcmtTcXGusoSCBdlS5OJF14kiIiIivumuu4Bjx1zX7BMneE13dkIS95Tc2tDly9yJzDlzW7Cgq2ZHya2IiIhvcy4kc95tjY8H8uRh/1u5PSW3NnTiBD+HhfFEyJMn+eQ2JibG+4MTyyjeZlG8zaJ420tYGK/buXLx+xMngNy5WXt75YrifTtKbm3o7Fl+zpGDO5rkyJF8chsdHe39wYllFG+zKN5mUbztJSyMferPnmUbsPh4JrcAJ60Ub/fuKLm9evWqp8YhHnTuHD9ny+Y+uZ09e7b3ByeWUbzNonibRfG2l/z5+fn4cV63T5zgXViAW/Aq3u4F3ckPT5s2DXv27EGpUqXQpk0bZMyYEQAwdepUlClTBrVq1fLIICV1nDO32bNf/64vJAQIDbV2bCIiIuKec5b29GkmtydP8loOcNJK3Luj5LZTp04AgN27dyMqKgoNGzZE/fr18dBDD2HcuHFKbi3inLnNkoVf58jB7fu0mExERMT35czJz6dP8y7s+fNA5sx87NIl68blL+4ouZ0/fz7effddbNmyBYmJiRg7diwCAgIQGhqKGTNmeGqMkkrOmduAAH7OkYM1Os7CdBEREfFdOXLw8+nT3Hb32uT24kXrxuUv0lxzu3jxYowfPx7dunXDwoULsWLFCqxYsQILFy7E4MGDtTWchc6eBYKDgQsX+H327Pz6xpIE58y7mEHxNovibRbF214yZ+bHqVOu5DYkhM9dvKh4306aZ243btyIn376CQHO6cFrTJ06Fbt27UKpUqXuaHCSNufOuRaTAXwHePGi612fk3Y4MYvibRbF2yyKt/04180kN3OreLuX5pnb4ODgZBNbAGjXrh0WLlyY5kHJnXEuIru2JVhyyW2bNm28PzixjOJtFsXbLIq3/YSE8NqdXHKreLuX5uS2Xr16eP7553HlypWbngsKCkJiYuIdDSwtLl++jAEDBqBw4cIIDQ1FrVq1sHz5cq+Pw2rOmdv//uP3oaEsQL8xuRURERHflDkzr91Zs/K6HhQEBAaq5jYl0pzc1qpVC/nz50e5cuUwduxY/P333/977tdff8UFZ8GnF3Xo0AGjR49Gu3btMHbsWAQFBeHxxx/H2rVrvT4WKzkTWWcb4qCg5GduRURExDcFB18/cxsQwOu4ktvbu6NNHIYMGYKBAwdi5MiRKF26NEJDQ5E7d2707NkTffv29dQYU+S3337DnDlz8P777+P9999H165d8eOPP+Luu+9G//79vToWqyUl8SRwTp7fKrlds2aN9wcnllG8zaJ4m0Xxth9nIutMbh0O12OKt3t3vP1uu3btsH//fqxZswZTpkxBTEwMNmzYgDzOrTS8ZN68eQgKCsJzzz33v8eCg4PRpUsXrFu3DkeOHPHqeKzkcPDWhXPmNkOG5JPbESNGeH9wYhnF2yyKt1kUb/vJmJGTVFmzctLKeR2/eFHxvp076nPrFBgYiNq1a6N27dqe+HVp8ueff6JUqVLImjXrdY/XqFHjf88XKlTIiqF5XVJSypLbWbNmeX9wYhnF2yyKt1kUb/txXsudbTwTElylCoq3e3c8c+srjh49igIFCtz0eIECBeBwOBAXF2fBqKxxY3LrLEsIDr7+uFDtxWsUxdssirdZFG/7cV7LM2RwfZ8hA6/tird7aZ65XbNmDb744gvs3bsXp06dgsPhuO75gIAAbNq06Y4HmFIXLlxA8I3ZG4DM/z9dacUCN6s4TwhnzW2GDKzBvSFEIiIi4qOc13Jn19WkJE5W7dwJ7NkDFC9u7fh8WZqS248++ghRUVHInDkzSpcujdy5c3t6XKkWEhKCS8lsuHzx/5cVhji39jBAcmUJznd7IiIi4vuci8MD//8eu8PB5Pbrr/n1119bOz5flqayhA8++AB16tRBXFwcYmNj/7f17o0f3lSgQAEcPXr0psedjxUsWNDtzz/++OOIjIy87qN27dqIiYm57rhly5Ylu7XwCy+8gMmTJ1/3WGxsLCIjIxEfH3/d44MGDcLw4cOve+zgwYOIjIzEjh07rnt83LhxiIqKuu6xhIQEREZG3rRaMjo6Gp06dbopuW3fvhUSEmKuS26XLVuGEiVK+PTfcaNWrVr5ZTx85e+4dtz+/HdcS3/Hrf+OqKgoW/wdgD3ikd5/R4kSJWzxd9glHp74O/bt64TAQFdym5QEHD7cCkAMtm1z/R5f/zvSEo/o6Oj/5WLFihVDpUqVUteFy5EG2bNnd3zyySdp+dF0ExUV5ciYMaPj3Llz1z0+bNgwR2BgoOPw4cPJ/tzGjRsdABwbN270xjC9okULhyMiwuGYPNnhAByOpCSHo0IFh6NXr+uPGzt2rDUDFEso3mZRvM2ieNtPxYoOxwsvOBxLlvBafuSIw1GlCr8uV868eKcmX0vTzG29evWwdevWtPxoumnRogUSExPx2Wef/e+xy5cvY+rUqahVq5YxnRIA3q5wOFxF6ImJyZcl9O7d2/uDE8so3mZRvM2ieNuP8y6ss+IyOJiPAUDx4oq3O2mquR03bhwiIiLw4YcfolOnTj5Rc1ujRg20bNkSr732Gv755x+UKFECU6dOxYEDBzBlyhSrh+dVISHAiRNApkz8/soV1umo5lZERMQ/uEtuxb00zdwWKVIE3bt3x4ABA5AvXz5kyZIF2bNnv+4jR44cnh7rbX311Vd46aWXMH36dLz44ou4evUqvvnmG9SpU8frY7FSSAj74WXMyO8vX+bMrbN7goiIiPg254IyJbepl6aZ27feegvDhg1DoUKFUK1aNUsS2eRkypQJw4cPv6ko2jShockntzfO3O7YsQNlypTx/gDFEoq3WRRvsyje9nPlCu/AXrrEGdygIFdym5CwA4DifStpSm4nTpyIxo0bIyYmBoGBttkHwjZCQ4ELF1w7kl28mPzMbf/+/bFo0SLvD1AsoXibRfE2i+JtP86dRRMSeF0PCOBkFQBs29YfgOJ9K2nKTC9fvozGjRsrsfVRzrKE7Nn5/dmzroT3WuPHj/f+4MQyirdZFG+zKN7240xuT58GnDfIz5/n55o1FW930pSdNmnSBKtXr/b0WMRDnInstcltjhzAmTPXHxceHu79wYllFG+zKN5mUbzt58IFTladOeNKbv/7j59z5FC83UlTcjto0CBs374dPXv2xMaNG3HixAn8+++/N32INZw1t86TwZncnj5t7bhERETk9hwOztwGBzO5zZmTjzlnbp1raiR5aaq5LV26NADgzz//xKeffnrL466q95QlQkJYXxsayu+d7/punLkVERER33PpEheBZ8vmKku4cIEJLsDH5dbS3C0hICDA02MRD3EmtYGBLEA/e5bv+m5MbocPH44BAwZ4f4BiCcXbLIq3WRRvezl7lp+zZ+e1OywMOHXK9fzmzcMBKN63kqbkdvDgwR4ehniS8x3duXP8+tqaW4eDCS/AvaDFHIq3WRRvsyje9uKcjHKWFJYuDfzzj+v5wEDF250UJ7exsbGp/uVVqlRJ9c/IncuXj59PnHAltWFhbCFy8SLLFgBgyJAh1g1SvE7xNovibRbF215unLnNkQM4dsz1fOvWirc7KU5uq1WrluJSBIfDgYCAANXcWiR/fn4+cYInhnPmFuBJ4kxuRURExPc4Z26vTW6vnbn1kb2zfFaKk9spU6ak5zjEg5wzt8ePu06MnDn52JkzwF13WTc2ERERcS8+np/z5mVZQs6c1ye3BQpYMy5/keLktmPHjuk5DvGgkBAgSxbO3IaF8YTInZvPnTzpOi4+Ph558+a1ZpDidYq3WRRvsyje9vLPP2wDFhDArgm5cgG7drmez5w5HoDifSvaYsym8uVjclugAHD0KFCwIB8/csR1TOfOna0ZnFhC8TaL4m0Wxdtejh9nieGJE/w+f/7rZ24HDlS83VFya1POk6JgQSAujrc0Mmfm107qemEWxdssirdZFG97+ecfXsePH+f3+fK5kts8eYC33x5s2dj8gZJbm8qXjydFwYL8nJgIFCp0/cytulmYRfE2i+JtFsXbXo4dY1mhc+b22uS2YEHF+3aU3NrUtWUJAE+UG5NbERER8T379wN33+1KbvPkcSW3xYpZNiy/oeTWppy3M5y1tkePKrkVERHxdQ4HsG8fk9ijRzlZdfWqq4OCktvbU3JrU0WKAIcPu9p+xcXdnNxOnjzZmsGJJRRvsyjeZlG87ePkSeD8eSaxhw65rudOxYop3rej5NamihXjjmSXLwMZMzK5LViQya3DwWPSsuuc+C/F2yyKt1kUb/vYt4+fixVjUlu4MHDggOv5YsUU79tRcmtTztsW+/dz9tY5c3vhAhtCA8CECRMsG594n+JtFsXbLIq3fSSX3B486Hr+nnsU79tRcmtTd9/Nz/v2uU6MwoX52KFD1o1LREREbm3fPu4umisXr9c3JrdFi1o2NL+h5NamsmThorJ9+4DixYG9e4ESJfjc339bOzYRERFJnnMx2enTwKlTnKl1liXkywdkzWrt+PyBklsbK1bMldzu2cOTImdOYOdOq0cmIiIiydm3jwnt7t38vmRJ18ytOiWkjJJbG7s2uT12DEhIAEqVcu1PHRkZae0AxasUb7Mo3mZRvO3DOXObXHJ7zz38rHi7p+TWxq5NbgHO3pYu7Upue/XqZd3gxOsUb7Mo3mZRvO3hyhUuBHfO3IaFsczwxplbxds9Jbc25lxp6Xynt2MHZ26dZQkRERHWDU68TvE2i+JtFsXbHv7+mwnuffdxIqpkSe5SdukSn3cmt4q3e0pubax4cfa0PX2a7cC2buXM7cmT/BARERHfsX07P997L7B5M1CunKs8AVDNbUopubWxcuX4eetWfr11K2duAVdpgoiIiPiGbduAvHnZCmzHDqBSJeCvv1zPO+/EintKbm0sf35+OJPbbdt4iwNgchsTE2PtAMWrFG+zKN5mUbztYft2ztpu3w5cvQpUrOiazQ0M5Fa8gOJ9O0puba5cOWDLFtbv/P03EBDAk2PHDiA6Otrq4YkXKd5mUbzNonjbw7ZtvF5v2sTrdfnyrpnb8HAgY0Z+rXi7p+TW5sqXZ3JbrhyQlMSktnx5njizZ8+2enjiRYq3WRRvsyje/i8xkQu+772X1+gSJdgpwZnc3nuv61jF2z0ltzZXvjxnbJ11Olu3AlWrAhs3crGZiIiIWO/aTgl//smShJMnXW3AnOto5PaU3NpcuXJMYg8d4i2NbduY3B4/DsTFWT06ERERAa7vlLBpE5PbjRtdzyu5TTkltzZ33338fG3HhCpV+Ni1J42IiIhYZ9s2IE8e9rQ9fVrJ7Z1QcmtzWbOyJGHLFqBCBeCPP4DChYF8+YC33upk9fDEizp1UrxNonibRfH2f7GxTGg3beL3FSsCv//OrzNkAMqUcR2reLun5NYAzo4JNWuyFOHIEZYmBAZqhxOTaEcbsyjeZlG8/d+GDUD16qy3zZWLnY2cyW3FikBIiOtYxds9JbcGqFyZtzZq1OD369ezNOHYsTbWDky8qk0bxdskirdZFG//dvQoJ56qV2eSW60aJ6Oci8lq177+eMXbPSW3BqhRgysuL17kO8Fff+XM7dGj/BARERHrbNjAz87ktnp14JdfXM/XqmXNuPyVklsDVK/Ozxs28ARZv57JLaBFZSIiIlb77TfuKBoYCBw7xuv2mjWu55Xcpo6SWwPkywcULcqTp2ZN1vAULAjkyrUGa9daPTrxljXXvlKK7SneZlG8/duaNUCdOtfP4DpnbvPlA4oXv/F4xdsdJbeGqFGDM7a1agEXLrAlWObMI7BqldUjE28ZMWKE1UMQL1K8zaJ4+69Ll1gu+OCDvE4XKADkyOHqmlCvHrfivZbi7Z6SW0M88ADfEZYtCwQF8UR65ZVZ+O03Jrtif7NmzbJ6COJFirdZFG//9fvvTHAfeoiztXXqMMm9epXP169/888o3u4puTVE3brA5cuuXU/WrwcaNAjFlStMdMX+QkNDrR6CeJHibRbF23+tWsWe9GXLchKqTp3rF5Mll9wq3u4puTVEuXLsm/fzzyxN+OUX12MqTRAREbHGypVMaDdt4gxunTquxWSFCwMlSlg6PL+k5NYQgYGs51m1ivU7f/8NHD7sekxERES868IFXoMjIjjpFBoKlC/vuqNav/7N9bZye0puDVK3LrBuHd8VBgQA3btH4aGH+Njly1aPTtJbVFSU1UMQL1K8zaJ4+6c1a9iDPiKCM7i1awN//QWcO8fnkytJABTv21Fya5C6dXkS/f03+9yeOBGOunX5ztG5xZ/YV3h4uNVDEC9SvM2iePunZcvYHaFUKSa3DRqwfNCpXr3kf07xdk/JrUEqVQKyZeOJ06ABcOhQb1SsyEL2a08msafevXtbPQTxIsXbLIq3f1q6lLO269cD//0HNGwIrFjB50qUAG6Vwyre7im5NUiGDGwJ5kxujx8Hduxg3e2PP1o9OhEREXMcPQps2QI8+iiwfDmQOzdQoYJrHcytShLk9pTcGqZuXWDtWm7qkDkzk9pGjYDVq/muUURERNLfDz/wc4MG/PqRR7jB0unTfFzJbdopuTXMI48wiY2NBSpX3oHly5ncXr7Meh+xrx07dlg9BPEixdssirf/WbYMqFIFcDjYHeGxx66/i/rww7f+WcXbPSW3hqlSBQgLA775Bjh9uj9WrgSKFgWKFQO+/97q0Ul66t+/v9VDEC9SvM2iePuXpCQmt48+CixezA5GTZqwBhdgH/qwsFv/vOLtnpJbwwQG8t3hN98AH3wwHv/9x3eMjRoB337Ld5BiT+PHj7d6COJFirdZFG//smkTcOIEF5PFxHA9TEiIq972Vl0SnBRv95TcGqhxY2D7duDee8Nx111819i0KbB3L+t9xJ7UOsYsirdZFG//smQJuxdVqMB622bNWBro7Dl/u3pbxds9JbcGatgQCAoCvvuOJ9TChTyRsmXj1yIiIpJ+Fi3iHdMVK7jlbrNmrtLADBnc19vK7Sm5NVCOHLwF8s03wBNPAHv2cGOHJk2U3IqIiKSnuDhunBQZyZKE8uWBe+7hXVSAu4jmzGntGP2dkltDNW4MLFs2HLVqccY2JgZo3hz4809g3z6rRyfpYfjw4VYPQbxI8TaL4u0/lizh7GzDhq5Jpt9/Bw4e5PONG9/+dyje7im5NVTjxkBiYgLWruUCs5gYfg4O1uytXSUkJFg9BPEixdssirf/+Pprzs5u2wacOsWShPnzXc+nJLlVvN0LcDjMXh8fGxuLqlWrYuPGjahSpYrVw/Eah4O3QR5/nCUKzzzDd409e7KB9OrVVo9QRETEXk6fBvLnB0aOZDngwoW89pYsyRLBu+/m3dOAAKtH6ntSk69p5tZQzp56ixdzxjZjRha4P/kk8MsvwD//WD1CERERe1m0CLhyhWWACxawJGHzZia2AB9XYnvnlNwa7KmngEOHgJ072VMvJoYtwQICeAKKiIiI58ydy5KEvXuBI0eA1q2BGTNcz7dubd3Y7ETJrcHKlo1HvnzAvHl897hyJTd5eOih6+t/xB7i4+OtHoJ4keJtFsXb9505w13JWrYEoqOB8HCgZk1Xclu0KFCjRsp+l+LtnpJbgz33XGc8+aQruU1KYv1PmzZsKn3smNUjFE/q3Lmz1UMQL1K8zaJ4+74FC1iS0KwZr7utW3NSKS6Oz7dqlfKSBMXbPSW3Bhs8eDBatgT27+ftkXr1gJkz+a4yKIhfi30MHjzY6iGIFyneZlG8fd+0acAjjwB//QWcPMmJpK++cj2fmpIExds9JbcGq1KlCurWBcLCeFukTRvulnLhAptLX3vSif8zqRuIKN6mUbx924EDnKXt0IElCWXKsEOCswSwYkV+pJTi7Z6SW8MFBbEN2MyZTGgzZgTmzAHat+eGDlu2WD1CERER/zZ9OpAlC7sTOcv/Fi4E/vuPz3ftqi4JnqTkVtChA3D8OPDbb+x7O20a97zOk0eztyIiInfC4eB19amnOHt7/vz1JQnBwUDbtpYO0XaU3Bps8uTJAHgrpHx5nnydOwN//AFs3cqTb8YM4OpViwcqHuGMt5hB8TaL4u27Vq4Edu0COnViSULVqkDWrFy4DTDpzZUrdb9T8XZPya3BYmNjAfBWSMeO3BKwdm2gQAFg8mSWJsTFAT/9ZPFAxSOc8RYzKN5mUbx918SJQNmyQKVKwDffcOJo5kzO6AJAly6p/52Kt3vaftfQ7XdvdPQoULgw8Mkn7J7w8cdMbKtUAapXV3mCiIhIah07BhQpAnz4IZAhA/Dii9w8qVEj7kxWrBi34Q3UVONtaftdSbUCBYCICFdpwpkz7MnXvj0/nzlj9QhFRET8yxdfcKF2hw7ApEncBTQujoktwFlbJbaep/+k8j8dOgC//MIyhXr1WJrw7LPApUvXbw8oIiIi7l29Cnz6KcsQdu8GNm0CnnsOmDLFdcyzz1o2PFtTciv/88QTQPbsnL3t0oVF8AkJfKc5caKrPkhERETc+/574OBBoEcP4PPPWfpXt65rsqhxY6BQIWvHaFdKbg0WGRl53fchIdz+74svuD1gzpz8ukcP9rv99VeLBioecWO8xd4Ub7Mo3r5n4kR2RihViguDFylUAAAgAElEQVTIunQBFi8GTp/m8127pv13K97uKbk1WK9evW567PnngcOHgeXLgXbtgKlTWaJQrBgXm4n/Si7eYl+Kt1kUb99y4AA7I/TowUmiS5eA7t2Bzz7j84ULA02apP33K97uKbk1WERExE2PVa7MdmATJvBd5bFjwKJFTHpnz+b34p+Si7fYl+JtFsXbt3z2GZAtG/D008C4cfx85gy3uAdYexsUlPbfr3i7p+RWbtKzJ2duM2dmfdDo0TwRM2ZkizARERFJ3sWLTG47dmQyu28fW4BNnOg65k5KEuT2lNzKTVq2BPLlYxnCSy+xg8Lu3WwR9sknwIULVo9QRETEN82cCZw8CfTpA4wZA9SqBdx3H8v8AO5IVrCgpUO0PSW3BouJiUn28eBgvqucOhWoX5/1tmPG8J3nyZPA9OneHad4xq3iLfakeJtF8fYNDgfvdjZpApw6xZnbfv247a6zX/zzz9/5v6N4u6fk1mDR0dG3fK57d+DcOdbZ9unDz5kzs13YqFFAUpIXByoe4S7eYj+Kt1kUb9+wYgW7C730EjB8OFCiBNC8OfDRR3y+ZEku0r5Tird72n5X2+/eUrNmXPG5ahVXdvbuzS0DH3oI+PZb4LHHrB6hiIiI72jShL1t584FypblJg4FC7o6I3z4IWdyJfW0/a54xAsvcEeVLVvYn+/TT9mzr1o1zt6KiIgIbdnC9l9RUcAHHwB33cWdP0eO5POZM2tHMm9Rciu31KABm0+PHs1Z23//Zb1t377ADz/wRBYRERFgxAggPBx48EHu9Nm3L6+TK1fy+VatgNy5LR2iMZTcyi0FBvL2yYIFrLFt1oyJbosWLFNwvhsVEREx2YEDXDTWrx8wfjwQGsq1K+++6zomKsq68ZlGya3BOnXqdNtjOnQA8uRhMXy/fsBffwFLlwIvv8z9sffs8cJAxSNSEm+xD8XbLIq3tT76CMiRg22+Pv2UZX179wILF/L5yEi2A/MUxds9JbcGS8kOJyEhLEmYMgUoUwZ44AFg2DCgWzcgb15+Lf5BO9qYRfE2i+JtnaNHuWlDnz5soZmYyK8HD3Yd8+qrnv03FW/31C1B3RJu6+RJ1hH16wfUqcMuCcuXc7FZ//7Arl3APfdYPUoRERHve/FF1thu3w5UqMCNkLp04eJrgDt9OutuJe3ULUE8Kk8eNp0eOxaoUQOoUoUztj168Llra4pERERMceQIyxBefpk1t6dOAa+8cv2s7cCBlg3PWEpuJUWiooArV7ig7PXX2ah640bO3H75JbB/v9UjFBER8a733weyZAGee47dEjp04N3OJUv4fIMGwCOPWDtGEym5NdiaNWtSfGxYGNCzJ7fhffhhoFIl4I03OHubK5dmb/1BauIt/k/xNovi7X379rHW1jlrGx/P6+K1s7bpdW1UvN1TcmuwESNGpOp45+ztmDHAO+8Aq1cDa9bw8SlT2ApFfFdq4y3+TfE2i+Ltfa+/zoXV3btzq9127YATJ7iDJ8C2mdWrp8+/rXi7pwVlBi8oS0hIQGhoaKp+5pVXgEmT+I61aVPg4kXg55+BYsXYAmXixHQarNyxtMRb/JfibRbF27t++w2oWROYPBk4c4bXxh072F1o6VIgIICtM0uXTp9/38R4a0GZpEhaToz+/V21t+++C8TG8kSOiuJJrr63vsu0F0LTKd5mUby9x+FgMlu+PPDkk7wWdu4MHDvG6yEAdO2afoktoHjfjpJbSZX8+dmceswYntgNG3IlaM+erMt9802rRygiIpJ+Fi1iWd6IEZzoOXcOeOstYMAAPp8pE78X6yi5lVS7tnPCsGG89bJgATBkCDBrFrsoiIiI2M2VK0xiGzZkW8wPP2QpQmwssG4dj3nxRW5RL9ZRcmuwqDRudO2cvR01Crj7bqB5c2DQIOCZZ4CyZXnim13J7ZvSGm/xT4q3WRRv75g0iRsXffABJ3cCAznh89prfD5HDs/vRpYcxds9JbcGCw8PT/PPvvoqEBTE2dqhQ9kp4Ysv2PPvxx9dq0XFd9xJvMX/KN5mUbzT39mzbPPVoQMQHAx8/DGT2iVLeAcT4ORO7tzpPxbF2z11SzC4W8KdGjmSSe7WrcB77zGh3b2b7U8OHuTjmTJZPUoREZE798YbwEcf8TrXrRu7I8TGAuXKcaeywoU5qxsSYvVI7UndEsQrevXiyfzqq1wteuECZ3HHjAH27uVnERERf7dnD+trX34Z2LIF+O47fj9pEhNbgNdBJba+QcmtpFnmzJyx/fprnvivvQaMHctyhZ49megeO2b1KEVERO7Miy+yI1BUFNCvH1CvHlC3LutuAaByZaBtW2vHKC5Kbg22Y8eOO/4drVoB1aqx51/fvpzJffll1uJmyuQqshfreSLe4j8Ub7Mo3uln8WLgm2+4iHriRJYljB7NXcnOnOExI0dycZm3KN7u2Sa5PXbsGF599VXUr18f2bNnR2BgIFatWmX1sHxa//797/h3BAbypN6wgb3/Ro7ki8D69dyid+pU7uQi1vNEvMV/KN5mUbzTx4ULnLWNiODs7JAh/D5rVnZMAIAmTYD69b07LsXbPdsktzt37sQHH3yAuLg4VKhQAQEBAVYPyeeNHz/eI7+nbl0gMpKztI0b8/u+fYFnnwUqVmQPwKQkj/xTcgc8FW/xD4q3WRTv9DFiBHD4MDBuHNeZ5M3LBPell1wtL0eM8P64FG/3bJPcVqtWDSdPnsSOHTvQt29fq4fjFzzZSmT4cODQIWD8eN6u2bUL+PRT1uD+9hvw1Vce+6ckjdQ6xiyKt1kUb8/bu5frSl55Bdi8mR2Bxo0Dfv6ZpQoA0KMH+7t7m+LtXpDVA/CULFmyWD0Eo5Upw5P87bdZVN+1K/sB7t7NutwBA4BmzYCcOa0eqYiIyO299BI3Lerdm2tLmjUDHn0UuO8+Pp81K69z4ntsM3Mr1hs6lI2t+/dnva3DAbz+OtulJCTwcREREV/3zTecnR01irO3Z85w1va99zijC7DvbViYteOU5Cm5Ndjw4cM9+vty5WJ5wvTp3K3l3XfZA3D/fj4+aRJv54g1PB1v8W2Kt1kUb8/57z+gTx+gYUNuMT9+PO9K/vuvq/VX2bJsCWYVxds9nyxLcDgcuHz5coqODQ4OTufR2FdCQoLHf+ezzzKJfeEF4PffgWnTgO7dgY0bgRkzgOeeY+1S5swe/6flNtIj3uK7FG+zKN6eM3AgcPQoa2yfeYYLo3v2BO6/H7h6lcd8/LG1O3Aq3u755MztqlWrEBISctuP0NBQ7Nq1y+rh+q0hQ4Z4/HcGBgITJgDbt3Nh2aefcovCUaOY9B44wPIF8b70iLf4LsXbLIq3Z6xbx2vX0KHcheyPP3gd+/BDfg0A7dsDDz9s6TAV79vwyeS2TJkymDp16m0/pkyZggIFCnjk33z88ccRGRl53Uft2rURExNz3XHLli1DZGTkTT//wgsvYPLkydc9Fhsbi8jISMTHx1/3+KBBg266pXDw4EFERkbe1Jh53LhxiIqKuu6xhIQEREZGYs2aNdc9Hh0djU6dOt00tlatWnn17xg8OBIdO+7AoEHcirBvX2DgwHH48MMovPkm26Zs2uT7f4dd4qG/Q3+H/g79Hfo7bv93XLoEdOkC5Mv3Ai5fnow33uBdyCxZgMGDYwFEIkeOeIwc6dt/h5M/xyM6Ovp/uVixYsVQqVKlVHXCCnA4nJ3a7GP+/Pl4+umnsWLFCjz00ENuj42NjUXVqlWxceNGVKlSxUsjtL+EBKBCBaBgQd7aqVQJuOsuYPlyrjoNCQF+/RXIkMHqkYqIiLBX+4cfArGxnJTZtYsTMRER3KgIYHndM89YO05TpSZf88mZW/GOG9+5eVJoKMsQVq9mj9spU4C1a1mn9PnnrMEdOzbd/nlJRnrGW3yP4m0WxfvO/PwzFz4PGcJEdvlyliNMmuRKbJs3B9q0sXacToq3e7ZKbt955x0MGzYM8+fPh8PhwLRp0zBs2DAMcy5vlOt07tw5XX9/vXpAt25sAXb33dyy8I032FWhd2/gzTeBPXvSdQhyjfSOt/gWxdssinfanTrFOtqHHuLnfv2ADh2AYsW4uAwA8uQBPvkE8JXNTxVv92xVlhAYGJjstrsBAQFITExM9mdMLkuIjY1N97/5zBng3nu52nTePJYn5M3LQv0qVYACBfiOWeUJ6c8b8RbfoXibRfFOG4cDaN0aWLaMJQjPP8+yhM2bgSee4B1HAJg1ixsS+QoT421sWUJSUhKuXr1608etElvTeePEyJGD73a/+w5YuJDlCb/+yls9X37JF44PPkj3YQi8E2/xHYq3WRTvtJk2DZgzhyUIy5Zxjcjnn7tK6QCgXTvfSmwBxft2fLLPrdhLZCRfGF58kS3C+vVjScIff7Bk4a23gEaNOKsrIiLiDXv2AL16AR07AtWrcxF0ly5A4cJA06Y8pmhRbuIg/sVWM7fiu8aO5e2fnj3ZP7BoUW748NZb3OmlXTvgwgWrRykiIia4cgVo2xbInx8YMwbo1Il1te+9x+uRs2BzxgzegRT/ouTWYDf2v0tP+fMDEycC8+cDs2cDU6dyB7PRo/nisWcPW69I+vFmvMV6irdZFO/UGTqU16CZM7nx0KpVvC4NHw5s3cpjBg/mrmS+SPF2T8mtwWJjY73677Vsyds/vXsz2X3tNc7cnjvHd86ffgrMnevVIRnF2/EWayneZlG8U271amDYMCaviYm8Dr3xBmdrP/yQx9x/Px/zVYq3e7bqlpAWJndLsMLZs64NHX76CahfH4iLA/78E+jeHfj+e9bi3nOP1SMVERG7+ecfoHJloGRJ3kmsWhUoUgSIiWEHn0OHgKxZ2S2hWDGrRyvXMrZbgvi+7Nm5qcP69dyGd+ZM4PRp9sP97DO2CWvdGrh82eqRioiInVy9yt3FkpLY2qt7d064zJzJsrhDh3jcxIlKbP2dklvxujp1eLvn7bf5Lvrzz1mOMGcOX3D+/BN4/XWrRykiInYyeDCwciWvMzNmAAsWAF98wfaU06fzmLZt+SH+TcmtWGLgQN4OateObcC6dQP69OG2ve+/z7qnb76xepQiImIH330HvPMOP5KSgAED+FG1KvDcczymaFEuLhP/p+TWYJGRkZb92xkz8p3y0aPASy8Bo0YBxYuzH26PHkDjxlx8duSIZUO0HSvjLd6neJtF8b61gwc5kdK4MdCmDa8zjzwCDBrEr8+e5XHTp/tP2y/F2z0ltwbr1auXpf9+yZJsBTZ5MneFmTWLLcFefpktWTJn5guP6m89w+p4i3cp3mZRvJN3+TI79WTLxnUdLVpwwVh0NMvjfv2Vxw0axJI5f6F4u6duCeqWYCnnvt7ffQds3MgOCj16sBdu4cLAww8DXbsCH39s9UhFRMTf9OnDNpNr1vA6MmsWt9Xdvx948kkeU7s2+9wGac9Wn6ZuCeI3AgKASZPYGqxFC6BDB9426twZyJmT9U+ffMJjREREUmr2bGDcOJa9bdjAO4KTJgFZsnCHTIAdfKZPV2JrNwqnWC57dmDePKBmTW7wMGkSsGUL0Lw5X5D++AN44QXgvvt8d7cYERHxHbGx3FK3bVugYkXeBezdG2jalNcaZ53ttGnqq25Hmrk1WExMjNVD+J8KFXjLaPJkvttesAA4dozvrkeN4ovRU09pgdmd8KV4S/pTvM2ieLscOwY0awaUK8eWky1bsvRgxAj2ud25k8cNGMDj/JHi7Z6SW4NFR0dbPYTrdOrElizPPw/8+y83e1i4kC9I8+YBGTKwRuriRatH6p98Ld6SvhRvsyjedOkS7/pdvcrNGVq3BgID2Ud98GAuXgY4k/vOO1aO9M4o3u5pQZkWlPmUS5eAevWAAwe4wGzSJO77PWcOexA++CBvM33+Oet1RUREAC5Q7tiR14uVK4GPPmK/9NWrge3bgfbteVzBgry+3HWXpcOVVNKCMvFbwcGcpU1K4gKz/v25wKxjRyazn33GHWXGj7d6pCIi4ksGD+YdvylTOEM7dy6/P3eOdwYBICQEWLxYia3daUGZ+JyCBYH583nb6IUXWIe7dy8QGQn89hs3fXjpJc7kNm1q9WhFRMRqX3zB+tr33uMM7tChwLvvciFy7dpAYiKPmzED0E1a+1NyKz7p/vs5S9upE1CmDBATA9SoweL/lStZttC6NbBiBR8XEREzLV3KLdy7dwfq1mVpW4cO7JFeqxZw6hSPe+891uOK/akswWCdnPdpfNSzzwKvvsrShF9/5a2knTv5+Fdfsb1Lkybc1Uxuz9fjLZ6leJvF1Hj//jtL2B59FIiKAp54AqheHRg7lpMhe/fyuGefZXcEuzA13iml5NZgERERVg/htoYNY4eEtm1dq18XLuTtpkWLuNFDo0bAiRNWj9T3+UO8xXMUb7OYGO+//uLrf7lyXGT8xBPcoGH+fM7krlvH4x5/nHcC7bQI2cR4p4a6Jahbgs9LSGD97ZEjrLmdOZOzudOmcS/w2rXZhPvHH4HQUKtHKyIi6e3AAb7+58rF1/7OndkVYe1a7jj2/vs8rmZNPp8li7XjlTunbgliK6GhwNdfs89t06ZAz558IevcGdi9G1iyBNi82TW7KyIi9nX8ONCwIbvrLF3KcoOlS7kB0Lp1rsS2dGleH5TYmkfJrfiFAgVYc7t7N9CuHXcze/RR7lrmcLCv4aJFwIsv8nsREbGfM2f42n/+PPDDD8Do0cDUqfwAuBEQwGvG998DefNaNVKxkpJbg61Zs8bqIaRKxYrArFlMYt98kwlthQqspypRApg4EZgwgS1g5Gb+Fm+5M4q3WUyId0IC794dOAAsW8ba2g8+YIJbpgzbRQKcqf3+e7aLtCsT4n0nlNwabMSIEVYPIdUaNwZGjQJGjuTuZUuWAGFhQEQEk9xhw4BBg4APP7R6pL7HH+Mtaad4m8Xu8b5yBWjZkjuLffstyw/69wfeeIMJ72OP8RiA14UKFawdb3qze7zvlPrcGmzWrFlWDyFN+vQBDh/mRg5hYay1uv9+rppdtQr47z/glVdYq/v881aP1nf4a7wlbRRvs9g53levcpfKH37gdrrbtrEbwgsvsBStTh1Xx5y5c7kA2e7sHG9PUHJrsFA/bi3w/vvAsWNs1P3tt0xwH3iAt6WWLmWC27MnE9yOHa0erW/w53hL6ineZrFrvJOSuBnD7NksRTt0iHW1zz/PO3UNGnAtBsCytBYtrB2vt9g13p6i5Fb8UmAgt+WNj+eOMz/9xHf0jzzCncvmz2eC27kzE9yWLa0esYiIpIbDwUmKL79ke69z55jodu/OWtvHH+cmDgDXYfTsae14xXcouRW/lTEjb0E1bMiShJUrgXnzOHvbqRMwZQoXIDzzDBASwt3MRETE9zkcLDn49FPgiy+AxEROVjz3HBeQNW/OMjQA6NIFePtta8crvkULygwWFRVl9RDuWJYsLEsID2eSW7w4MGMGEB3Nd/dTpnCxQYsWwPLlVo/WWnaIt6Sc4m0WO8Xb4QBefhkYN45dcDJm5Pa5XboA48cD7dsD333HY5s25TF22n0sJewU7/Sg5NZg4eHhVg/BI3LmZFuY3LlZf1WzJncvmzqV7/yjo4F69bjP+E8/WT1a69gl3pIyirdZ7BLvpCSgd292xZkwAcialesmOnXi9+3a8Y4dADz0ENtDBhl4D9ou8U4v2n5X2+/aRlwc8OCD/HrlSq6s7dIF6NULGD7cdRvr66/ZOkxERHxHUhIXik2axHKELFk4S9uhA2dn27blegqAkxg//ABky2btmMV7tP2uGKlgQc7MJiWxFUzDhnyBHD8e6NcPWLgQqF+fNbnffsufSUzkfuQiImKdq1dZTztpEmtsAwM5S9uhA/DJJ0CbNq7EtlIlliUosZVbUXIrtnL33Zy1dSa4jz3GF8rPPuNK2rlzuXVj8+ZATAxrcuvW5YuniIh436VLQKtW7IowbRq32O3albO4Eyaw283ChTy2bFmWoeXKZe2YxbcpuTXYjh07rB5Curj7bmDFCs4EPPww24PNmMFWMp07swY3MhJ46inODvTpw8R30CAuZLAru8Zbkqd4m8Vf433uHHeeXLIEWLAAOHiQG/RERQHvvssJiiVLeGz58nxtz5fP2jH7An+Nt7couTVY//79rR5Cuila1DWD++CDQLVqnLVdsIB1W9OmcWaga1egUCFuCvH220CPHixVsCM7x1tupnibxR/jHR/PUrENG7j5zq+/cjvdIUOY3Nav72r3VbUqE9uwMGvH7Cv8Md7epOTWYOPHj7d6COmqaFHW04aEcFVtyZIsRfjuO87ajh7NF9L+/YGTJ1m+MHkyb4FduGD16D3P7vGW6yneZvG3eO/Zw21zDx5k0rpgAfDee8DIkWz79eCDQGwsj73/fuDHH4E8eSwdsk/xt3h7m5Jbg5nQSqRwYb7zDwtjbW1YGHcy+/lnburw2mtMcj/4gInwvHmcQXj0UeD0aatH71kmxFtcFG+z+FO8160DatViGdiqVcDHH7t62jZuzKR3504e26ABX5Nz5LB2zL7Gn+JtBSW3Ynv583NmoGRJ3uYKDga+/563who14mrcr77ix9SprO/aupUzB0eOWD16ERH7mDuXfcfLlOEkw5AhXNj75ZcsH3vwQeDwYR77zDOcjMia1doxi/9RcitGyJWLPRGrVGGP24sX+f327XwxrVuX/W+XLeOL7bffcub2/vt5jIiIpJ3DAYwYATz9NPDkk2zr1b49P8+ZAxQpwgXA8fE8PiqKEw6ZMlk6bPFTSm4NNnz4cKuH4FXZsjFprVePJQnHjgFr1wLnzwO1a/PFdflyYPNmbt07Zw6QPTufc2716M9Mi7fpFG+z+HK8ExO5WHfAAK5zGD6c5QYbN3KSISiId9XOn+fxo0czEQ5UhnJLvhxvX6D/dQyWkJBg9RC8LiSE/RKdrcB+/531X/nycQb38mVgzRr2WXzySWDsWC5Ga9KE20H6c6swE+NtMsXbLL4a77Nn+frpXLDbqhUnDM6cAX75hbW1Tzzhem2dPZvbpot7vhpvX6Htd7X9rpESE4Fu3VjrNWIEZ2qfeoqLG776imUKTzwBbNrEWrANG7jorGtXNhXXrTIREfcOH+YCsf37WX6QkMBdx+65h3fRPv+c/cUB3llbvJivvSLJ0fa7IrcRFMRZBGcrsLfe4gvr009zZiE6mlv5Rkbysdy5OfPw5Zes2XXWhYmIyM3WrweqV+fahTVr2MO2WTNuqrNyJfDOO67EtlAhzuIqsRVPCbJ6ACJWCQjgC2yhQkCvXkBcHJPXQoWAvn056zBjBlCqFFuGderELgutWgE1azIZvvdeq/8KERHfMn0673JVrco7Yf37c+Z28GCgXz9upLN4MY+97z6uaShSxNIhi80ouTVYfHw88ubNa/UwLPf880CBAkCbNlxsFhPDBPfFF4EDB5jwlioFdOkC7N3LnosdO7JuLDoaePxxq/+ClFG8zaJ4m8UX4p2UBLz+OheMdewIvPoqy7v27eNah+rVOTv7xx88vmFDtgZTD9vU84V4+zKVJRisc+fOVg/BZzzxBOttDx7kC3CdOpxp+PZbLjR7+GHukLNtG9C6NWt1nQvNBg8Grl61+i+4PcXbLIq3WayO96lTQNOmXMMwciT7h9epA/z3HxftFi0K1KjhSmy7dmUPWyW2aWN1vH2dkluDDR482Ooh+JTq1blw7K67gAce4KKzX34BTpzgi3KmTKwjc7at6dwZePttfjRqxON8meJtFsXbLFbGe8sWvn6uW8cJgYwZuTahalW+pu7ezdfQuDge/957wGef8ThJG53f7im5NZi6Q9ysUCHO4DZrxoVkCxcyob37bs7U/vILv2/YkK3CLl1iHe6mTUDlynzeVyneZlG8zWJVvGfN4la6WbJwC3NnK68XX+Ruj6NG8bXyyhUeP3s2yxUCAiwZrm3o/HZPNbciNwgJAWbOBMqXZzeFbdv4Iv3yy7zV1rMnn//oIz7fqBE7Kzz/PMsXRowAXnpJL94iYl+XLnFThjFjuE3ugAFcKLZzJ9cpREYCzZtzJhcA8uQBFi3iro8i6U3JrUgyAgK4MKJsWW4R2aABt+etXRvo3RuIjQXmzeN2vm3asJfjV19xBXC/fmx988UXqicTEfvZs4ddY7Zs4UY3hQtzbUL+/Lyz5XCwTOHvv3l8qVJMcosXt3bcYg6VJRhs8uTJVg/B5zVvzi16T53ii3Xp0rz1dvgwE9vgYODPP/niXr8+dzqbP5/b+Farxud8heJtFsXbLN6K99y5fO07fZolXAcOsOygYUPu+Lh2LetrnYntI4+wFleJrWfp/HZPya3BYmNjrR6CX6hQAfjtN/a0dTYg//139mds0ACYM4ePRUXx1tznnwPLlgFZs7If7siRbJFjNcXbLIq3WdI73ufPc1fHp58GHnuMd6lefpllCaNGcVOcbt1YnnX5Mn/mtdfYOjF37nQdmpF0frun7Xe1/a6kUGIidzJ77z3Wk02ezC15R4wAWrRgGcIvv7AuN2NGtgv74Qcmt/XqsQ5NjcpFxN+sXcvyrH/+YSJ7zz2ss82YkW/ug4NZprBnD4/Pnh2YNo0Lc0U8RdvviqSDoCDg3Xe5KGLVKs7Ktm7N2tulS3krrkgRliKUKsXZjezZOYu7axdngGfPtvqvEBFJmcuXuWj2wQeBsDD2qP3nH7b5qliRaw82bmS3BGdiW7Ei72wpsRUrKbkVSaWmTfmCnjMnF5idPs2yhQwZWGf79decsR04kHunv/8+k9+ICCbD7dsDZ85Y/VeIiNzatm1MWkeMAIYOZYeYbt149+rNN7k7Y48eQJ8+vKsFcNvy9euBkiWtHbuIkluRNLjnHpYgdOzInXZGjOBsbufObBXWogXQqxcXlv31F2c+mjdnR4VFizi7sXq11X+FiMj1kpKA0aO5ATyyHPoAACAASURBVMOlS65ktXJlLhL76SduOV61KvuAA9z4ZulStkcMDrZ2/CKAklujRUZGWj0Ev5Y5M/Dpp6ylnTWLdbV9+gAxMUxcK1bkcVu2cNa2TRv2y12xAggP5x7rr74KXLjgnfEq3mZRvM3iiXgfPMiuB337cmHYTz8B48ZxEVnDhiy5WreOM7oHDvBnmjQBNm/ma5x4j85v95TcGqxXr15WD8EWOnTg7MalS2yRc+IEX+zLlGE3hZEjOWMbHc362yZNgP79Wb87ahST4FWr0n+cirdZFG+z3Em8HQ5g0iRuXLNrF+84NWjAMqt587g4dtQooGVL9v8GWIY1fjzvROXL56E/QlJM57d7Sm4NFqG32h5TvjzrcNu1A557jjO4s2ezs8LIkUCdOrxQbN3KZLZpU2DvXpY25M/PWdwePdK3FlfxNovibZa0xvvvv9nisFs3llOtWMFktkkTtjvcupWtvCpU4HMAX+82bQJeeEE7MVpF57d7Sm5FPCRLFpYpzJ/Pi0ClSpzJXbsW+Pdf1qx99x3wzTc8buZM3u4bNgyYMAGYMYO9dBctsvovERG7S0wEPvyQSev+/VwE27AhF8l++y3LrebOxf+1d+dxVZX5H8A/F1AEUUFERFERd8UV9wVzTxOX3MlMJW3qV5bz05rMacpxGq0cGzPb3cY1M5U0w3FLMVEDlyQh9w3ct1ATkPP74/O7XlAkF+Bc7v28X6/zAs9deI4Ph/s9z/k+3weTJrHywcWLfN3LL3MCbd26pjZfJFcKbkXy2JNP2tISunTh7b4ffuAtvWefBR5/HOjalSMfFSowV/fgQWDnTgbEvXqxZuSZM2YfiYg4or17GcSOG8c7Rt9/z9zawYOBxx7jJNjgYN5l+uILvqZCBaZVffAB5xuI2DMFt05sxYoVZjfBYQUGciTkk0+Ya9uyJQPW774DEhOBkBDOLt64kZUWPvmEdXFHj+YI7oYNQO3awJw5zIfLC+pv56L+di730983b7KUV2gocP067yrVrs2lxXfs4F2n+fOZX9u2LXDkCF8XEcGJsZ075/NByH3T+Z07BbdObNGiRWY3waFZLMBzzzFnrWZNjtguW8Y82yFDmK/WsSPQuzc/OKpW5XPWrGG1he7dgeHDgbAwzlJ+VOpv56L+di5/1N8//sjUqMmTuTDD4sWcHDZqFNC3L/DLL8z/b9gQmDKFrylZks9bsADw8SmAg5D7pvM7dwpundgSLZdVICpX5u28zz7jUpWtWnH53g0bgJMnmfO2ciVvDc6ezZzc1q05chIdDVy4wJGWF17g9w9L/e1c1N/O5V79feYMMGwY/6Z4eQExMcy3DQ1lOa/oaKYaTJjAvzmJiXxd164MeAcOLLhjkPun8zt3Cm5FCoDFwioK+/Zx0lj37iwPtnkzR3fHjgXatOESvvv3s5rCn/7EkZXPP2fFhQULuKzvJ58At26ZfUQiYs8yMoB//5t/M779lpNY//pXBqvvvQe8/jr/Hl2/zr9JM2fyde7unOC6Zg3zbEUKIwW3IgWoUiWO0H7xBVMUmjblSG5MDJfxbdgQmD6dHzRbt3K1oDZt+CG0dStHfJ9/nq/butXsoxERe2MY/BvTqBEXY3jqKWD9egarPXsC1aoxDSoigqsm9ukDnDrF1zZvzslmL7ygEl9SuCm4FSlgFgsQGWlbu33AAK7d/s03HE2ZOpUjKefOsYLCRx/xsbZtWSs3JoYF1Nu0AZ5+GkhONvuIRMQe7N7NCi3dujFHdts2pkW1bs2FZpYs4d+SL79krdroaL7Oy4sX1Vu3cqRXpLBTcOvEhg8fbnYTnFpgID9ooqKY2xYaChQtCsTHcwZz794caenalasG9esHvPQS8OKLXMP98885QlO9Om83Xr2a+89TfzsX9bfzOH4cqFZtOBo3Zh7/ypW8YB4xwjZpbP9+pirUqsUKLenpfG2fPnzspZd40SyFg87v3Cm4dWJa4cQ+hIczuB09GnjrLc5cfu01Br779rFY+syZrEMZGwu4ubGCwsaNLDc2ejRzcoODOTHk5s2cf47627movx3f5cv8W1GjBnDuXBfMnMnAdt481qstVYorJw4fzr8zTz1lu9NTuTKwfDn/zgQGmnoY8hB0fudOwa0TGzx4sNlNkP9XvDjL78THA76+XNhhxQou/vDnP3MVs7p1gfPnGeB+/jmrLTRvzhGYnTu5eMT//i/Ljv3nP3dPOlN/Oxf1t+NKS+NksWrVgBkzGOD+8stgHDnCdINt27jC2KpVTEFo0IDlBQGmILzzDqsi9O5t7nHIw9P5nTsFtyJ2pF49VlD44gt+MDVuzElou3YBVaoATzzBILZdO65qNmECZ0G3bcvRm/h4pjcMHcrXfvdd3i0CISLmunWLF661a/Oit08fW33axo0Z6I4fz31Xr/JvwowZttdHRgIHDjC3X6uMiSNTcCtiZ1xc+CGUmMileJ9/nstivv46J4Ts3s0JZxMmcCGIgwc58/kvf+Hzn3ySE0O8vRkMP/YYC7iLSOGUmclzPySEF64hIbzgDQvjXZ6XXuIksqQkBrnNm3OftS72Y4/xwveLL4By5Uw9FJECoeDWicXExJjdBMmFnx8XddixAyhRAujUibVuV60CJk7kB1W1alxBaNo0Vl8IDeXqZy++yElmq1cDly5xtnRoaAw2bdJIrrPQ+V34GQZzYhs0AAYN4t2bHTuYQxsRwUC3YUOW9goLi8HQoZyEmpTE11etyrzaDRtYGkwch87v3Cm4dWLvvvuu2U2Q+9C0Kct/LVrE0ZrQUM6I3rIF6N+ftydr1ODo7JIlfG6xYlwH/l//4mS0ZcuAgwffRfv2HO2JjlaQ6+h0fhdehsGFF0JDOcG0XDme15GRXAymTx/u276daQdTpwKRke9i40a+vmRJLtSQkMC8WtWsdTw6v3On4NaJLV682OwmyH2yWDhyk5TEEj+LFnHxBx8f5ug2acKyPyEhDHxjYjjic/Ys83E//RRYsWIxvv2Wk1Eef5w1dr/9VkGuo9L5XfgYBi88W7TgCGyJEhx1ffZZrmTYrx9QpgywaROrIqxZwyops2cDwGJYLMDLLwOHDnHVQ3d3kw9I8o3O79wpuHVinp6eZjdBHpCHB2dGHz7MEdsZM5hX26gRKysEBzMIbtyYJcN27waWLuUKRB06eGLGDI7oREezpm7PnnzusmXM6xPHofO78Lh1i+dgixa88HR1ZQ3rkSO5WtigQUDFisylX7WKaQjVq7N0oLX038CBnjhwgOUAy5Qx9XCkAOj8zp2CW5FCyNsbmDSJIzTPPMMc3P79+cG4fj0f79mTubalS3NJzUWLGOS2awe8/TYwbhxHhUqX5ohQnTrAJ58A166ZfXQizuHmTZb1q1OH56CnJ4PXkSOZN//008yr376dI7V79zKofeklICWF7xEWxscXL2aOrYgouBUp1Pz9We/y1185gjtmDCebPPMMy4DdugV07Mj82woV+OG4ahXTHHr14ofksGEc9a1bl9UXKlZkZQbrevMikrdOn+YFZlAQ0w1CQngODh7Mc9KaYhQXB3z1FSsdVK/OyiknT/I9atdmWtGmTUCzZmYejYj9UXDrxMaNG2d2EySPVK4MzJrFFc2aNeOH40svcdnNpUu5+ENY2DiEhTGw3bKFW1AQZ1w//TTLBe3dy2D3o4/4WEQEF4iQwkfnt30xDE76jIhg7ep33+Vkrx07WLpr4EDgT39i/vyePVx8Yc0anofPP88ldgEgIICjvXv3Aj162CaLqb+di/o7dwpunVilSpXMboLksdq1Gczu2sUSQSNHctWyUaOAESMqISPDlqN76hRvde7Zw0lnY8YwwPX2Zq7u++/zdmezZkxv+Pprrk0vhYPOb/tw4wYnfDVpwvNo504GtnFxnBDaqRPL9oWHc8Lo++/z+ZUqsZb12bN8H39/VkU4eJATzNzcsv8c9bdzUX/nzmIYzj1XOj4+HqGhoYiLi0Pjxo3Nbo5InkpI4NK9S5awdNC4cSwb9u9/A2vX8lbna69x5PbUKX54fvklR5kGDWKawqlTnKTyww/8wI2M5Miw1qMXubdjx4CPP2Y96gsXuMjCSy+xfvX06cyRdXfnaO2YMby78t57zI3PunR2uXI8R0eNYk6uiLN6kHhNI7ciDqxuXWDhQmD/fqBLF5YHGj6cebgbN3K535EjWWVh5UpgyhTm9L39Nh9v1oyjTM89B8TGMnf33XeZBtGjB1+j0VwRysgAoqKYzx4czAmaTz/N82/kSGDyZNat3ryZ3588CXTvzgvGBg2A+fNtgW3VqsCHH7IyyiuvKLAVeRAKbkWcQI0avNV54ADz/CZMYHH4kBAGsZ06cVS3YkWOHkVE8EN1+XKWH4uI4OsqVmTKw8cfA2fOcJ/19umRI2YfpYg5DhzgJMyKFRnYnjjBvPXt24FSpXh+Pfkkg9+lS3lHxceHlUs6dGDZL6t27YAVK5ii8OKLPP9E5MEouHViiYmJZjdBClBiYiKqVOGCDocOAU89xfy+rl1ZV3PlSqYbfPIJl/mMiGCe37p1nKjWuzdHbevW5QztDz7gLO4+fTjCFBzM0eGlS221N8U8Or/z1/XrwH/+wzz1GjV43vTty5zaSZMYsNapw3PsiSeYY7t0KXPcq1ThubZnD9/LzY0jvHFxPLd69eI5+SDU385F/Z07BbdO7NVXXzW7CVKAsvZ3xYrM+7OmIERH8wN4714u1zt1KkdoW7XiEqBbtjBl4dQpBrg7dgBt2rB0UeXKfO7s2ayRO2AA8wSffZY1d7PmD0rB0fmd9wyDAegLL7BqwdChgIsL0wnWruUoa3g4z6WjRzl6m5zMtIOpU3muTJoEnDvH9/P1Bd54g5UQ5s3jgioPS/3tXNTfudOEMieeUHb8+HHNuHQiufV3ejpHlT74gCNPgYG2SWOrVnHz8GAwO2oUA96NGzn57JtveLu1Rw/W161ShastLVzI1IZy5VjmaPBg5vBqnfuCofM77xw6xIleixYBv/wClC/Pknk9ezL1YO5c3sXw9eUdj2HDmM++bBknb8bGZn+/OnWYRztkSN6lHai/nYsz9veDxGsKbp04uBXJSXw8UxcWLAB+/51Ba48eHOWdNYv5hA0bMsiNiOCyvQsW8LFdu1hKrF8/PubhwVnhS5awcH1wMIPcwYOZ3iBir06cYHC6aBHvVBQvznSBfv14N2L+fGD1aj7XemHXvbvtPJk9m6O2VhYL0xb+53+YV6uLPJEHo2oJIvLQGjdmcJucDMyYwdurI0dydGrUKH5wV67Mskbly7MCQ9OmvF2bkMAP7/XrOVGmXz+gSBGupLRuHdC+PW/VhoQA9esDf/sbg2nnvsQWe2AYTMuZOJF3JipVAl59lXceFi3i5EofH54L/fsziP3Xv7gM7sKFTMl5/HFWOfjHP2yBbdmyrGN7/Djvjjz2mAJbkfymkVuN3IrkyjA4cvXJJxyBTU/n5LIuXZiDO3s2P7hr1uRt1qee4qpKsbEc0V2yhDU8a9fmY337crngJUu4RPDly0x/6NmTI2OPPQYULWr2UYszyMgAYmI4mXLFCl7IlSjBEVhrdZDVqxncHj3Ki7mICI7S1qrFi7jFixn4XrmS/b1bteKFXt++rGcrIo9GI7dyX6ZMmWJ2E6QAPWx/WyxcHnT2bNtCD0lJHMX99FN+eL//PvNpJ09m6kHbtpwJ/vbbHMH67juOCP/znwxy33rLFhysW8cySatXs3JDmTLM0V2wALh0KW//D5yJzu+c/fYbg9FnnmE1kPbtga++4iIL33/PXPJatTjxq00bXtR17sz9x45xwtjMmZxQ9vjjwJw5tsDWw4OTx+Ljga1bGQgXVGCr/nYu6u/cuf3xU8RRXb9+3ewmSAHKi/728QFGj2ZKwu7dTFX4z384MtuoETB+PHMTo6NZo3P0aI6CDRnClZo+/ZST05YvZz3dN9/kbdzevZnD6OXFFIaoKL7G1ZWBcufOrBUaGvrgJZKclc5vysxkLnh0NLcff+SIbd26wPPP846BxcLfydGjeVehZEnuf+cdXnDt3csR2iFDeIF3p5YtuTjKgAGsa2sG9bdzUX/nTmkJSksQeSRpacCaNQx0V61iGsMTT3Ak7LffOCq2cyc/9Pv2ZR5ux4583oYNvB28ciUXhShblqkJvXtz9GztWo7obtoEpKZyslr79gx0O3Xi8sHKX5Q7paTwdyc6Gvjvf3nx5eXFPPCuXYHWrVkBYfVqbmfOAKVL8/eub1/+fu7bx0ogixez6sedAgOZZjNsGH9XRSR/qVrCA1BwK5J3zp9nfuLcuZxg5uPDYLV+fQYQy5YBBw9yZCw8nIFE1668dbt9O0fPli9n4FG8OPNvO3Xi12vXbGkM27Zx9K1iRVug26EDJ/+I87lyhSOyGzYwoP35Z170NG7M369OnZjH/cMP/B3asoW547Vr80KsRw+m3mT9HTx+/O6fExTEi7N+/TiJ0kWJfSIFRsHtA1BwK5I/9u3jqNfSpbzVW6oUA9qaNRmMWIOQYsUYmHbvzi0oiFUXrBUWYmI4OlyuHIOUzp0ZiBw6xFE56wpqAGvstmjB28QtWwINGrBagziW5GRe4GzezEB1zx6mHwQEcKJj165AhQrcv349R/6vXOFksXbt+JwnnuBz1q1jMBsVZVtcIatq1VgdoW9fBsu6UyBiDgW3D8CZg9vz58+jTJkyZjdDCohZ/W0YDFa//pqB7i+/cBTNumxpZiaQmMhAJSODt3i7d2daQ9u2rCm6dastkN21i+9buzYD3Y4dmbebkMCAZ9s2TuhJT+cEn6ZNbcFuy5ZMfXAGjnJ+nz8P/PQTU1usX1NS+FiVKkBYGLfKlTnaun49R3BTUvh71rIlf0c6dQKaNGF6y9q1DGi/+46pM3eqU8eWQlOvXuEIaB2lv+X+OGN/K7h9AM4c3Pbs2RNRUVFmN0MKiL3098GDtlzHTZtst4fDwpiecOUKA9nkZKYmdOpkC3YrVuTo2saNfM5//8sZ7ADfo3Vrbk2aAFev2oLdbdtsdUeDgjj5rUEDLkbRsCFrmhaGAOZB2Et/P4jLl3nxsnOnLZg9epSPeXuzX5s2Zf8VK8a+37qV24kTtlSEjh25tWnD36mffuKdgu+/Z+pBZmb2n2uxMAju2ZNb7doFfuiPrDD2tzw8Z+xvBbcPwJmD2/j4eKc7Zmdmj/39228cjV21iqNop08zfaFLF07YSUvjreUff2RAUq0aJ5S1b8+R33LlGPxYA5yYGI7gGgZHaFu1sgW8fn4c0d2xg5Uedu8GLlxgO7y9GexmDXjr1Cnc9Untsb+trl8H9u9nOknW7eRJPu7lxSC1aVMGtLVq8aLG2s+xsRyBLVKEj1v7OCyMqQe7dvF3YcsW3hG4ePHuNnh48PesZ0/m3Bb2EX177m/Je87Y3wpuH4AzB7ci9iQzk8Hn6tUMdn/6iftr12YJMIuFQWtcHAMjgPm7WYPdsmU5+rdtmy0Q2r4duHGDI30NGvC9rJu3N4OqPXtsAe/Bg/w5rq6s2VuzJrdatfi1ShXmdqok2R+7fJn/nwcP8qLDGsQeOmRblS44mCvWWbfq1W0XNbt28ffAmlNbunT2C5YmTfg+sbEMZLds4ffXruXcHn9/5n337Mk7Ah4eBfd/ISKPRsHtA1BwK2Kfzp1j7uS6dbb0A1dXLhZRrx5H7W7c4Ajdr7/yNXXrMtBt1YqTzqpUYR7vrl0c/f3pJwbHSUkMiooVY/Bcp45tq1yZwVFCAnOBk5K4HTliC8jc3JjKULky0xwqV87+fWCg409kS0/nSPupU9m3kycZvB48aBsZB3hBkDWIrVaN/4/Hj/NixTqSm5TEQNbNjf3RuDH7s00bXlycPs3R961bGczGxbGPc+LqygmGnTtzklmzZqpwIFJYOWVwu2HDBixYsAAxMTE4efIkypUrhw4dOuDvf/87yuVSH0jBrYj9MwzWGrWWAlu/nreaixfnreigII72XbvGAPbgQb7Oz49BbosWDJIaNGCQlZrKUdq4OAaxv/zCr9aVptzdGUjdGfRmZjLoPnqUwbb167FjLHVm5eLCUcKyZbN/zel7Pz/7WG44M5N5yhcucLt4MfvXM2eyB7Fnz9qCfYD/Z+XLM7CvWtW2+fpyUmBKii2I3b8/+8WCv7/tIqNRI24hIcDNm+zPHTtsW06LKFhZLHxdWBhTDh57jGXnRKTwc8rgtmnTprh06RL69++P6tWr4/Dhw/jwww9RvHhx7N69G2XvkVDlzMHtl19+icjISLObIQXEkfo7M5PB6bp1HN2NjWVg6uLCUV1rFYa0NOb17tplC1z9/Gy5tdY821q1OFJ4+jQDXWuwa/2aNWezbFneSg8O5siw9fty5fgzT5xgsJuczADwzBnb1zNnGEDeqVgxBmGlSvFriRLcV7Qog8aiRbN/n3Wfiwt/7p3brl1fIiQk8va/MzKY62rdrl3jdvGibbtzohXAn+Xry+OuUIEBbIUKts3Xl6O4ly8z2D9yhBciR45ws/6/Wyy8CKld++7Nx4ej8Pv2cSKZNZBNTMweQN/Jw4OpCW3bcmS3ZUummjgjRzq/5Y85Y38/SLzmMMvvTps2DW3atMm2r2vXrmjXrh1mzJiBiRMnmtQy+xUfH+90J4czc6T+dnHhSGzjxsCrrzIo278/e3UEa2Dk7s6A19fX9vpbt1ia7P33+e+iRZnS0LAhn1uzpq3mrosLg9ODB21B2+HD3DZv5kiiNQArUoTpChUqcIS4fHkGXAEB/Pne3oCnJ4PBmzeBS5c4Enz16t1bWhqfc+UKv6al2fZZv968afv/uHO7cCEehw9H3v63qyt/tqcnR7x9fdlWHx9+7+vLnFZfXz5ufU1aGkduT5/mduYMA/61a/l/YS3LZT3+ypUZ9DdvDgwaxO9r1ODm6ckg9sgRph+sWwdMm8Z6xwcO5BxcWxUtygsRa8WEJk0YGLs5zKfYo3Gk81v+mPo7dw4zcnsvZcqUQfv27bF06dIcH3fmkVsRR5aayolIcXG2LTGRgS3AW+aVK3NEMTOTAerVqwySb9zgc4oWZW6odVJZ1q10aT7n9985UmsNeo8e5ahtcjIDv+TknEdrAQaRPj7Zt5IlOSLp4cHRW+v3WTfrfldXtj/rlpHBNmXdbtzIed+VKxxxvXOzBs13KlOGI9TlyjFgr1LFNnpdpQqDeVdXjgIfOpTzlltagZWrKy8ymjSxBbMhIfaRviEi5nDKkducXLt2DampqU5X6FhEWE7KOqve6vffGbzu3cvA1/r1/Hnba+rXZ5CZNWC8ehVYuDD7kqxlytgmkFWqZNsaNeIt/LJl+X4WC2//X7p0f9uRI7bg07plDVAflIuLLSC+c/P25hYYyK+lStn2Zd1Kl+bxFCnCwPfUKaZfnDzJLS6OX0+cYIB/6dL9t89iYa6tNZBt0oQjtKpkICIPy6GD22nTpiE9PR2DBg0yuykiYgeKFbNNWLIyDN5u37vXFuz+/DMrMFiDSXd3lqjq2DF7SkBGBm+n793L4M464pv15/n52YLdrJufH0c7GzSw5dpa827d3XNeVCIzkz/XGujeusX2Z92KFMkewN7rtn16es45uJcuMdg/cIDpCOfPcwTaGsjmtETt/SpfnukfISH8av3ey+vh31NE5E52GdwahoG0tLT7eq77Paqsb968GRMnTsTAgQPRrl27vGyeiDgQi4W32AMCWC7Kyjo5LDHRVhLs6FEGekePMiC0cnW1VUCw5rhaE74MgwHjxYt8n8xM/vteqQoAA9SsE8w8Pbkv6+bmxuD2fjZrJYmswWx6et7/X5YqxXzjwECmKlStaptwFxysygUiUkAMO7Rp0ybDYrH84ebi4mIkJSXd9fr9+/cbvr6+RmhoqJGamprrz4qLizMAGP7+/kZ4eHi2rUWLFsby5cuzPT86OtoIDw+/631eeOEF44svvrjrvcPDw41z585l2//mm28akydPzrbv2LFjRnh4uLF///5s+6dPn26MHTs2275r164Z4eHhxpYtW7LtX7hwoTFs2LC72jZgwIAcj8Pf398hjsNR+iO/jyPr+xfm48jKrOPIzDSMc+cMY+dOw5g6Nc6oVy/cGDv2nDFypGE88YRhhIYaRsmSbxpubpPvGFc9ZgDhRsmS+42gIMOoWdMw6tQxjHLlphu+vmONkBDDCAnhvipVrhnFioUbJUtuMby9DcPHxzC8vAzDzW2hYbEMMwDDcHU1DDc3bhbLAMPFZXmWf4cbLi7RhsUSbri7G0bJksbt93F3f8EoXvwLo0wZwyhVyjDc3Q0DiDOAcAM4d0eb3zSAyUbZsobRqJFhhIcbxpAhx4xatcKNd97Zb6xbZxj79xvG1av6vTLzOPz9/R3iOBylP/L7OLK2uzAfR1ZZj2PhwoW3Y7GgoCCjQYMGRlhYmAHAiIuLu+v97mSXE8rOnDmD6Ojo+3punz59UKJEidv/PnHiBFq3bg13d3fExMTA398/19c784SytWvXokuXLmY3QwqI+rvgGQZHTM+dY8WFnL5eusSJXVm31NR7L0xw/9YCsPW3NffW0zP71xIlbJUSrNUSSpe2jWYHBDCFwtEXpSjsdH47F2fsb6escwsAFy9eROvWrXH58mVs3boVwcHBf/gaZw5uRcR+ZWbaSoZZy39ZZU15sJbsym1zcck5h1dEpLBwymoJ169fR7du3ZCSkoJNmzbdV2ArImKvXFw4sewe0wpEROQeHCa4jYiIwM6dOxEZGYmEhAQkJCTcfszLywu9evUysXUiIiIiUhBczG5AXtmzZw8sFgtmzZqFoUOHZtvGjBljdvPs0ooVK8xughQg9bdzUX87F/W3c1F/585hgtsjR47g1q1bOW6HDx82u3l2acqUKWY3QQqQ+tu5qL+di/rbuai/c+cwwa08OD8/P7ObIAVI/e1c1N/O+OI8FQAAC1pJREFURf3tXNTfuVNwKyIiIiIOQ8GtiIiIiDgMBbciIiIi4jAcphTYw7px4wYAYP/+/Sa3pODt2LED8fHxZjdDCoj627mov52L+tu5OGN/W+M0a9yWG4daoexhLFiwAEOGDDG7GSIiIiLyB+bPn4+nnnoq1+c4fXB7/vx5REdHIygoCB4eHmY3R0RERETucOPGDRw9ehRdu3ZFmTJlcn2u0we3IiIiIuI4NKFMRERERByGglsRERERcRgKbkVERETEYSi4FRERERGHoeBWcvTss8/CxcUFPXv2NLspkse2bNmCXr16oVKlSvDw8EBAQAC6deuGH3/80eymST7YsGEDIiMjUbNmTRQvXhxVq1bFyJEjcfr0abObJvng9OnT+Mtf/oIOHTqgZMmScHFxwebNm81uluSBtLQ0vPbaawgMDISnpydatGiBdevWmd0su6TgVu4SFxeHefPmqTSag/r111/h6uqK559/HjNnzsS4ceNw5swZhIWFYe3atWY3T/LYa6+9hh9++AFPPvkkPvzwQwwePBhfffUVGjdujLNnz5rdPMljSUlJeO+995CcnIz69evDYrGY3STJI0OHDsUHH3yAIUOGYPr06XBzc0P37t01MJEDlQKTu7Ru3Rp16tTBunXrUK9ePURFRZndJMlnN27cQHBwMBo1aoTvvvvO7OZIHoqJiUGbNm2y7duyZQvatWuHCRMmYOLEiSa1TPLDtWvXkJ6eDm9vbyxbtgwDBgzAxo0bERYWZnbT5BHs2LEDLVq0wNSpUzFmzBgAwM2bNxESEgJ/f3/ExMSY3EL7opFbyWbevHlISEjAP/7xD7ObIgXIw8MDfn5+uHz5stlNkTx2Z2ALAG3btkXp0qWdctlxR1e8eHF4e3ub3QzJY19//TXc3NwwcuTI2/vc3d0RGRmJbdu24dSpUya2zv4ouJXbUlNT8frrr+ONN95A2bJlzW6O5LPffvsNFy5cQFJSEsaPH4+EhAR06tTJ7GZJAbh27RpSU1P/cJUfEbEPu3fvRo0aNeDl5ZVtf7NmzW4/LjZuZjdA7Mfbb78NDw8PvPLKK2Y3RQrAgAEDEB0dDQAoWrQonnvuOUyYMMHkVklBmDZtGtLT0zFo0CCzmyIi9yElJQUBAQF37Q8ICIBhGEhOTjahVfZLwa0DMgwDaWlp9/Vcd3d3AJxkNH36dCxZsgRFihTJz+ZJHnqYvraaMmUKxo4dixMnTmDu3LlIS0tDeno6ihYtmh9NlTzwKP1ttXnzZkycOBEDBw5Eu3bt8rJ5ksfyor/FMdy4cSPHPi5WrNjtx8VGaQkOaPPmzfDw8PjDzdPTE7/++isA4JVXXkHr1q3Ru3dvk1svD+Jh+tqqfv366NixI4YNG4a1a9di+/btGD58uElHIvfjUfobABITE/Hkk0+ifv36+Pzzz004AnkQj9rf4jg8PDxw8+bNu/b//vvvtx8XG43cOqBatWphzpw59/XcgIAAbNiwAd9//z2WL1+OY8eOAeCIQUZGBm7cuIFjx46hdOnSKFGiRD62Wh7Gg/b1vRQpUgQ9e/bElClTcPPmTY0C2alH6e8TJ06gS5cu8PHxwerVq1G8ePF8aKHkpbw6v6XwCwgIyDH1ICUlBQBQvnz5gm6SXVNw64D8/f0xdOjQ+37+iRMnYLFY0KdPn2z7LRYLTp06heDgYEybNg2jR4/O66bKI3rQvs7N9evXYRgGfvvtNwW3duph+/vixYvo0qUL0tPTsWnTJvj7++dD6ySv5eX5LYVbw4YNsWnTJqSmpmabVBYbGwuLxYKGDRua2Dr7o+BW0LFjRyxfvvyu/SNHjkRQUBAmTJiAkJAQE1om+eHcuXPw8/PLtu/y5ctYtmwZKlWqpBn0Dub69evo1q0bUlJSsGnTJgQHB5vdJBF5QP369cP777+Pzz77DH/+858BcMWyOXPmoEWLFqhQoYLJLbQvCm4FgYGBCAwMvGv/yy+/DH9/f4SHh5vQKskv3bp1Q2BgIJo3b46yZcvi2LFjmDNnDlJSUvDVV1+Z3TzJYxEREdi5cyciIyORkJCAhISE2495eXmhV69eJrZO8sOkSZNgsViQkJAAwzAwb948bNmyBQDwxhtvmNw6eRjNmjVD//798frrr+PMmTOoVq0a5syZg2PHjmH27NlmN8/uaIUyuafg4GDUq1cPK1euNLspkoc+/vhjLF68GImJibh8+TJ8fHzQsmVLjBs3Dq1atTK7eZLHqlSpguPHj+f4WOXKlXH48OECbpHkNxcXlxyX3bVYLMjIyDChRZIX0tLS8Ne//hXz58/HpUuXUL9+fUyaNEn1yXOg4FZEREREHIZKgYmIiIiIw1BwKyIiIiIOQ8GtiIiIiDgMBbciIiIi4jAU3IqIiIiIw1BwKyIiIiIOQ8GtiIiIiDgMBbciIiIi4jAU3IqIiIiIw1BwKyIiIiIOQ8GtiIidmjt3LlxcXG5vRYoUQWBgIIYPH47k5GSzmyciYpfczG6AiIjcm8Viwd///ncEBQXh999/R2xsLGbPno2tW7di3759KFq0qNlNFBGxKwpuRUTs3OOPP47GjRsDAEaMGAFfX1+8++67iIqKQr9+/UxunYiIfVFagohIIdO2bVsYhoFDhw5l25+cnIwRI0agXLlyKFasGEJCQjBr1iyTWikiYg6N3IqIFDJHjhwBAPj4+Nzed/bsWTRv3hyurq4YPXo0ypQpgzVr1uDZZ59FamoqRo8ene09YmNjsXHjRty8eROhoaEIDw8v0GMQEckvCm5FROzclStXcOHChds5txMnToSHhwd69Ohx+znjx4+HYRjYvXs3vL29AQCjRo1CREQE3nrrLTz33HNwd3cHAPztb3/D2bNn8fHHH8MwDHTo0AFpaWno27cvZs+ejaFDh8LV1dWUYxUReVRKSxARsWOGYaBjx47w8/NDxYoV0b9/f3h5eSEqKgrly5e//bxvvvkG4eHhuHXrFi5cuHB769KlC65cuYL4+HgAwPz587F48WJMnz4dACesDRo0CO+88w4A4NChQwpsRaRQ08itiIgds1gsmDlzJqpXr44rV65g1qxZ2Lx5c7YqCefOncPly5fx2Wef4dNPP83xPc6ePYvMzEyMHz8eY8eORZEiRW4/HhgYiJ9//hkHDhxAjRo1CuS4RETyi4JbERE717Rp09vVEnr16oU2bdogIiICSUlJ8PT0RGZmJgBgyJAheOaZZ3J8j/r162P79u04deoUunfvnu0xLy8vZGRk4KOPPsJ7772XvwcjIpLPFNyKiBQiLi4u+Oc//4n27dtjxowZePXVV+Hn54cSJUrg1q1b6NChwz1fu379eri7u6NatWo5Pt65c+dsI7oiIoWRcm5FRAqZdu3aoVmzZvjggw+QlpYGFxcX9O3bF8uWLUNCQsJdzz9//jwAICAgAMWKFbvr8StXrsBiseQaGIuIFBYKbkVE7JhhGDnuHzduHE6fPo05c+YAACZPnoyAgAA0b94cY8aMweeff44pU6ZgwIABqFWrFgCgdevWCAoKQmxsLAAgIyMDc+bMwYEDB+Dp6YmUlJTb7yciUlhZjHv95RQREVPNnTsXI0aMwM6dO2/n3FoZhoGaNWsCAJKSkmCxWHD+/HlMnDgRUVFROH36NHx9fVG3bl0MGjQII0aMAABcuHAB06ZNg4eHB9zc3NCnTx/UqFEDUVFR2LhxIwYOHIgWLVoU+LGKiOQVBbciIiIi4jCUliAiIiIiDkPBrYiIiIg4DAW3IiIiIuIwFNyKiIiIiMNQcCsiIiIiDkPBrYiIiIg4DAW3IiIiIuIwFNyKiIiIiMNQcCsiIiIiDkPBrYiIiIg4DAW3IiIiIuIwFNyKiIiIiMNQcCsiIiIiDuP/AIB4kB6EmywUAAAAAElFTkSuQmCC",
      "text/plain": [
       "PyPlot.Figure(PyObject <matplotlib.figure.Figure object at 0x7f7aa65ceef0>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "PyPlot.Figure(PyObject <matplotlib.figure.Figure object at 0x7f7adb8ad240>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "PyPlot.Figure(PyObject <matplotlib.figure.Figure object at 0x7f7ada806b00>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "@time t = solveψ()\n",
    "plotsolution(t);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Jump/no-jump Lindblad decay evolution"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {
    "collapsed": false,
    "scrolled": false
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\u001b[1m\u001b[34mINFO: Trajectory: steps = 1999, points = 1000, values = 5\n",
      "\u001b[0m\u001b[1m\u001b[34mINFO: Time elapsed: 94.686237419 s, Steps per second: 21.111832664277728\n",
      "\u001b[0m"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "PyPlot.Figure(PyObject <matplotlib.figure.Figure object at 0x7f7ada81fd30>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "PyPlot.Figure(PyObject <matplotlib.figure.Figure object at 0x7f7ab8c06240>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "PyPlot.Figure(PyObject <matplotlib.figure.Figure object at 0x7f7ada737d30>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "@time t = solveρ(lind)\n",
    "plotsolution(t);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Explicit 4th-order Runge-Kutta integration"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {
    "collapsed": false,
    "scrolled": false
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\u001b[1m\u001b[34mINFO: Trajectory: steps = 1999, points = 1000, values = 5\n",
      "\u001b[0m\u001b[1m\u001b[34mINFO: Time elapsed: 82.477807651 s, Steps per second: 24.236822691246243\n",
      "\u001b[0m"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      " 82"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "PyPlot.Figure(PyObject <matplotlib.figure.Figure object at 0x7f7aa657af98>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "PyPlot.Figure(PyObject <matplotlib.figure.Figure object at 0x7f7ada699d68>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "PyPlot.Figure(PyObject <matplotlib.figure.Figure object at 0x7f7ada5a2e80>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "@time t = solveρ(lind_rk4)\n",
    "plotsolution(t);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\u001b[1m\u001b[34mINFO: Trajectory: steps = 19999, points = 1000, values = 5\n",
      "\u001b[0m\u001b[1m\u001b[34mINFO: Time elapsed: 838.50235488 s, Steps per second: 23.850857285740243\n",
      "\u001b[0m"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "838."
     ]
    },
    {
     "data": {
      "image/png": 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dO5g5cyZq1qyJgwcPplzglWzFihVG99HpdBgxYgRGjBiB6OhohIaGYuXKlVi9ejXOnDmD06dPpzQQDRs2xMaNG5GQkICwsDBs27YNM2fORN++fVG0aFGzV7wnN2HXrl1DtWrVzB7HL7/8knJ29NULog4fPozp06en6fVIi5fP/FWsWBHLly/HpUuXsGDBAnTp0gWdO3dO2Td//vzQ6XTYuHEjOnXqlKbHz58/P6ZOnYqpU6ciMjIS+/btw5w5czBr1izExsamnD1LbrJu3rxp8kxs8vCVtAwBSc3UqVNx7969lIb+ZStXrsSiRYvS9Xgv12yKuZrT+03Fhg0bcPToUfj4+GD+/PkGt928eROBgYHperyMio6OhhDCqP7k1yAz+Zij1+shhEBiYqLRbaYa6uQ6bt26ZfLxTGWWfJ8ff/wRfn5+mSmXSHMcc0ukIR8fH+TIkQNr165FRESE2X1NTQf1ssjISDx//hxt27Y1amyvXr2KyMhIs/cvXLgwunbtipUrV6JVq1a4ePEiTp06ZbRfjhw50KhRIwQGBuLHH3+EEAIbNmww+9iNGjWCEAJbt241ux8AXLx4ETqdDu+++67RbXv37n3t/TNDp9OlHFNAQIDBtGPJx5DRZYUrVKgAHx8f7N27F3ny5DF4zZJnTTB1fBcvXsTVq1dRvnx5o+Ei6XHx4kUASPV1NdVwJg/NECamX6tduzaEECZrTkpKQmhoKADTX/2n14ULFzT7nXhZYmIiDh48aLR9z549ADJ+rMmv88tn2l+WvJjIlStXjG4zNWXdm2++CRcXFxw/fhwPHz40We+reTdq1AgAcODAgfQVT2SD2NwSaahs2bIpX6l6eXkhLCzM5H7btm1Dx44dzT5W8gU3oaGheP78ecr2R48eYejQoUZnfeLj47F7926jx0lISEj5ijK5SQ4NDcWDBw+M9k0+A/RqM/2qgQMHIl++fJg9e7bJfzxfHi9Zrlw5k03TX3/9hcmTJ1t8xawGDRqgc+fOOHfunMGcoF26dEHFihXx008/pdqkHz58GE+fPgUgx+aeOXPGaJ+YmBg8e/bM4DUbPHgwhBD47rvvDJb+ff78OT777DMIIfD+++9n6riSfz9efV23b99udDY0WaFChQDAaDgLIBfAKFiwIIKDg3HkyBGD23744QdERkaibdu2WXKxZGq/E5GRkfjiiy+suoramDFjDD5oxsTE4LvvvoNOp8OgQYMy9JgFChSATqcz+ToDQL169aDX67FixQqDcdIxMTEYPXq00fE7Ojqib9++ePDggdFZ7WPHjpn8Fqdu3bpo1qwZ1q1bl+qFcadOncKdO3fSeXRE1sdhCUQaGzNmDJKSkjBu3DjUr18fjRs3Rr169VKW392/fz/Onz+PBg0amH2cYsWKoXfv3li1ahXc3d3Rrl07xMbGYufOnXB2doa7u7vBFeBPnjxBmzZtUK5cOTRs2BBly5bF06dPsXPnTkRERKBLly6oUqUKAPmV9o4dO9CyZUtUqFABefLkwenTp7F161YUKlQIH3zwgdnaChUqhBUrVqBHjx7w9PREx44dUbNmTTx48AAnT57E1atXU84sDhgwAN9//z1GjhyJ3bt344033sD58+fx22+/oVu3bli5cmUmX/HXGz9+PDZv3oxx48ahb9++cHR0hKOjI9atW4cOHTqgU6dOaNy4Mdzd3eHi4oIrV67g6NGjuHTpEm7cuIFcuXLhxIkTeOedd1C3bl1Ur14dJUuWxJ07d7BhwwYkJiZi9OjRKc/n4eGBgIAAfP/996hevTq6d++O3LlzY+vWrTh9+jSaNWuGzz//PFPHNHz4cCxcuBDdu3dHt27dUKpUKZw6dQrbt29Hz549Tb6urVu3xq+//op33nkHXl5ecHZ2RtmyZdGvXz/kzp0bCxYsQM+ePdGiRQv06NEDbm5uCAsLw44dO1CyZEmjxTky6u2330alSpUwbdo0nDx5ErVr18a///6LzZs3o3Pnzhn6nTB1Nvp1SpQogWfPnqF69erw9vZOmef25s2b8PX1NTkTSFrkzp0bDRs2xIEDB9CvXz9UrlwZDg4O8Pb2Ro0aNVC8eHH07dsXy5Ytg7u7Ozp16oQHDx5gy5YtaNGihckL2SZOnIhdu3Zh+vTpOHr0KJo2bYrr169j9erV6NSpk8lvW1asWIHWrVvj/fffx4wZM9CwYUO4urri6tWrOHnyJE6fPo1Dhw4ZzOhBZJOsNOUYEb1GRESE+Pjjj0WNGjVE/vz5hZOTkyhZsqTw8vISCxcuNJhb8/Lly0Kv14vBgwcbPMaTJ0/E119/Ld544w3h7Ows3NzcxIgRI0RMTIxo2bKlcHBwSNk3ISFBfP/998LLy0uULVtWODs7i6JFiwoPDw8xd+5ckZCQkLLvzp07xeDBg0W1atWEq6uryJMnj3jzzTfFqFGjRFRUlEENpua5TXbmzBkxcOBAUbp0aeHk5CSKFy8uWrZsKebNm2ew39mzZ0WXLl1EsWLFRJ48eUS9evXEggULUj3uQYMGCQcHh0zPc/uybt26Cb1eL2bNmmWw/c6dO2LMmDGiRo0aInfu3CJv3ryicuXKokePHmLFihUiKSlJCCHE1atXxVdffSWaNm0qSpQoIXLlyiXKlCkjOnXqJLZv327yOVetWiWaNWsm8uXLJ5ydnUX16tXFpEmTxLNnz4z2LVeunKhQoYLJx0ktg0OHDonWrVuLggULinz58olmzZqJjRs3ir179wq9Xi/Gjx9vsH9SUpL46quvRMWKFUXOnDmFXq83mk/12LFj4t133xVFixYVTk5OomzZssLX11fcuHHDqK705vSyq1evin79+onSpUsLFxcXUb16dfHf//5XJCYmCr1eL1q1apWm10AI8/PGpvZalCtXTpQvX148ePBA+Pn5idKlS4tcuXKJqlWrGv2OCJH6ezS11+DixYvC29tbFC5cWDg4OBjVFx8fLwICAkSZMmWEk5OTeOONN0RQUFCqxy+EELdu3RJDhgwRRYsWFS4uLqJ27dpiyZIlqR6jEHL+4kmTJol69eqJvHnzChcXF1GhQgXRuXNnMW/ePBEXF2d0HyJboxOCi1oTERGZU758eeh0uteOXSci7XHMLRERERHZDTa3RERERGQ32NwSERGlgTVnZSCijOOYWyIiIiKyGzxzS0RERER2Q/l5bqOjo7F9+3aUK1cOzs7OWpdDRERERK948uQJLl++jPbt26Nw4cJm91W+ud2+fTv69eundRlERERE9BrLli1D3759ze6jfHObvCTlsmXL8NZbb2lbjJV1794da9as0boMshLmrRbmrRbmrRYV8z579iz69euX0reZo3xzmzwU4a233kKdOnU0rsa6cuTIodwxq4x5q4V5q4V5q0XlvNMyhNRuLig7duwY/Pz8UL16deTJkwdly5ZFr169cP78ea1Ls1lVqlTRugSyIuatFuatFuatFuZtnt2cuQ0KCsLBgwfRo0cP1KxZEzdv3sTMmTNRp04dHDlyBFWrVtW6RCIiIiKyMLtpbj/77DMEBwfD0fHFIfXs2RPVq1fH5MmTsWTJEg2rIyIiIiJrsJvmtlGjRkbbKlWqhOrVq+Ps2bMaVGT7OnfurHUJZEXMWy3MWy3MWy3M2zy7GXObmlu3br12PjRV/fbbb1qXQFbEvNXCvNXCvNXCvM2z6+Z22bJluHbtGnr37q11KTYpMDBQ6xLIipi3Wpi3Wpi3Wpi3eXYzLOFVERER8PPzQ5MmTTBgwACty7FJqk4joirmrRbmrRbmbSgqKgrR0dFal2FR4eHhWpeQZQoXLgw3N7csezy7bG5v376NTp06oUCBAvj111+h0+m0LomIiIisICoqCm+99Rbi4uK0LoXSyMXFBWfPns2yBtfuhiU8ePAA7du3x4MHD7Bt2zYUL148Tffz8vKCt7e3wY+HhwdCQkIM9tuxYwe8vb2N7u/r64v58+cbbAsPD4e3t7fRp8exY8ciKCjIYFtUVBS8vb0RERFhsH3mzJnw9/c32BYXFwdvb2+EhoYabA8ODoaPj49Rbb169eJx8Dh4HDwOHgePQ4nj8PPzQ1xcHJYtW4awsDD+2PjPsmXLEBcXh02bNqX8XgUHB6f0YuXLl4e7uzs++eQTo9+51OiEECLNe9u4Z8+eoV27dggPD8euXbvQoEGD194nPDwcdevWRVhYmHJf68yfPx9DhgzRugyyEuatFuatFub9gsr/rmdHac0rPbnazZnb58+fo2fPnjh8+DDWrFmTpsZWdfY0Xodej3mrhXmrhXkTvWA3Y24//fTTlFPa0dHRWL58ucHtffv21agy2/XTTz9pXQJZEfNWC/NWC/MmesFumtsTJ05Ap9Nh06ZN2LRpk9HtbG6JiIiI7J/dNLd79uzRugQiIiIi0pjdjLklIiIiImJzqzBTU7mQ/WLeamHeamHeRC+wuVWYn5+f1iWQFTFvtTBvtTBvspSEhAStS0g3NrcKa9eundYlkBUxb7Uwb7Uwb7KEVatWYcWKFWnad+zYsTh+/LiFK0obNrdEREREZOD333/HkSNHMHDgwDTt/+WXXyIgIACXLl2ycGWvx+aWiIiIiFLExsbC398fkyZNMnl7ZGQkSpUqhatXr6Zsc3Jywv/+9z/0798fWi9+y+ZWYa+uF072jXmrhXmrhXlTVpowYQK6desGJycnk7dv3LgR9+/fR7FixQy2V6pUCW5ubggODrZGmalic6swrX/5yLqYt1qYt1qYN2WVp0+fYt68efjoo49S3Sc0NBSNGjVCjhw5jG77+OOPMXHiREuW+Fp2s4gDpd+qVau0LoGsiHmrhXmrhXmTOUlJSViyZAkuXLiAmJgY1KxZE8OGDYNOpzPad8+ePahYsSIKFSqU6uOFhobC19fX5G0NGjTA1atXcebMGVStWjXLjiE9eOaWiIiIyE5du3YN9evXhxACEyZMwOzZs7Fjxw6D5nTGjBkp/71161Y0btzY6HFWr16Njh07olGjRrh9+zZ27twJLy8v/Pzzzwb76fV6eHh4YNu2bZY7qNfgmVsiIiJSXlwcEBFh/ed9803AxcUyj/3kyRO0adMGrVu3xuDBg1O2jxo1Cq1atcKoUaNQtmxZnD9/PuW2o0ePGuybrGfPnujZsyfmzp2LEydO4Pfff0fOnDlNPm+1atU0nRaMzS0REREpLyICqFvX+s8bFgbUqWOZxx4/fjwuXbqEsWPHGmyvVq0ahBDYvXs3ChcubLDC3a1bt+Dq6prqY+7Zswf169dPtbEFgAIFCuDgwYOZP4AMYnOrMB8fHyxcuFDrMshKmLdamLdamHfmvfmmbDS1eF5LSExMxLx589C+fXsUKVLE4LaCBQsCAG7cuIE//vgDS5cuTbnt9u3bZpvbvXv34v333zf73AULFkRsbGwmqs8cNrcK44o2amHeamHeamHemefiYrkzqFq4cOEC7t69i6ZNmxrdptfLS66WL1+OefPmGdym0+nw/Plzk4955swZ3Lp1Cy1atDD73Hq9PuU5tMALyhTWp08frUsgK2LeamHeamHe9KoHDx4AAMqVK5fqPi1atEDLli0NthUtWhQxMTEm99+9ezdy5MiRcsHZ/fv3DRZySHb37l2jOXCtic0tERERkZ158803kTNnTiQkJBjddvToUej1ehQvXtzotuLFi6fa3IaGhsLd3R0u/38F3PTp0+HoaDwIICYmhs0tEREREWWdfPnyISAgAIsWLUJSUhIA4N69ewgKCsLevXvRvXt3XLp0Cffv38e4ceNS7ufh4YEzZ86YfMykpKSUM8HHjh1Dnjx5TDbI//zzD2rWrJn1B5VGbG4VFhoaqnUJZEXMWy3MWy3Mm0wZP348+vTpA19fX4wePRr/+9//0Lt3b/j7+2PGjBlwcXHBxIkTMXz48JT7dOjQAfv27TP5eN988w2uXbsGf39/7Nu3D59//rnRPkIIhIaGolWrVhY7rtfhBWUKmzJlismB5mSfmLdamLdamDelxsfHBz4+PkbbixYtanQxGQA0b97XCFu8AAAgAElEQVQct27dws2bN43OytasWfO1H6TCw8NRqFAh1K9fP3OFZwLP3Cps5cqVWpdAVsS81cK81cK8KavkzJkTvr6++PHHHzN0/59++gmjRo3K4qrSh82twlwstSQK2STmrRbmrRbmTVnJ398fW7ZsSfdctVFRUQgPD8eHH35oocrShs0tEREREaXInTs35s6di6FDh6b5PklJSfD19cXixYtNzqBgTWxuiYiIiMhAw4YNMWTIEMyaNStN+0+cOBGjRo1CrVq1LFzZ67G5VZi/v7/WJZAVMW+1MG+1MG+yhPbt28PPzy9N+44ZMwatW7e2cEVpw+ZWYW5ublqXQFbEvNXCvNXCvElrWg9FeBmbW4WNGDFC6xLIipi3Wpi3Wpg30QtsbomIiIjIbrC5JSIiIiK7weZWYREREVqXQFbEvNXCvNXCvIleYHOrsICAAK1LICti3mph3mph3kQvsLlVWFrnriP7wLzVwrzVwryJXmBzqzBOHaMW5q0W5q0W5k30gu1MSkZERESURc6ePat1CZQGlsiJzS0RERHZjcKFC8PFxQX9+vXTuhRKIxcXFxQuXDjLHo/NrcKCgoIwevRorcsgK2HeamHeamHeL7i5ueHs2bOIjo7WuhSLWbRoEQYNGqR1GVmmcOHCWTq0hs2twuLi4rQugayIeauFeauFeRtyc3Oz63HIGzZsQJ06dbQuw2bphBBC6yK0FB4ejrp16yIsLIy/KEREREQ2KD39GmdLICIiIiK7weaWiIiIiOwGm1uF2fNgezLGvNXCvNXCvNXCvM1jc6uwwYMHa10CWRHzVgvzVgvzVgvzNo/NrcICAwO1LoGsiHmrhXmrhXmrhXmbx+ZWYZwdQi3MWy3MWy3MWy3M2zw2t0RERERkN9jcEhEREZHdYHOrsPnz52tdAlkR81YL81YL81YL8zaPza3CwsPDtS6BrIh5q4V5q4V5q4V5m8fld7n8LhEREZFN4/K7RERERKQkNrdEREREZDfY3BIRERGR3WBzqzBvb2+tSyArYt5qYd5qYd5qYd7msblVmJ+fn9YlkBUxb7Uwb7Uwb7Uwb/PY3CqsXbt2WpdAVsS81cK81cK81cK8zWNzS0RERER2g80tEREREdkNNrcKCwkJ0boEsiLmrRbmrRbmrRbmbR6bW4UFBwdrXQJZEfNWC/NWC/NWC/M2j8vvcvldIiIiIpvG5XeJiIiISElsbomIiIjIbrC5JSIiIiK7weZWYT4+PlqXQFbEvNXCvNXCvNWiWt63bgHff5/2/R0tVwrZOq5wohbmrRbmrRbmrRZV8o6JkU3tjBmAPh2nYzlbAmdLICIiIrIZDx8CP/4I/Pe/QEICMHIk0K5dODw9OVsCEREREWUTz57Js7QVKwL/+Q8wcCAQGQlMnAjky5f2x2FzS0RERESaef4cWLECeOst4JNPgM6dgfPn5dnbYsXS/3hsbhUWGhqqdQlkRcxbLcxbLcxbLfaStxDA9u1A3bpA375AjRrAyZPAggWAm1vGH5fNrcKmTJmidQlkRcxbLcxbLcxbLfaQ99GjQJs2QIcOQO7cQGgosGEDUK1a5h+bza3CVq5cqXUJZEXMWy3MWy3MWy3ZOe/z54GePYEGDYCbN2VDe+AA0KRJ1j0Hm1uFubi4aF0CWRHzVgvzVgvzVkt2zPvGDeCjj+S42kOHgIUL5RAEb29Ap8va5+I8t0RERERkEQ8eyLlqp00DnJyAyZMBX1/A2dlyz8nmloiIiIiyVHw8MGcOMH488PixnKt29GjA1dXyz81hCQrz9/fXugSyIuatFuatFuatFlvOWwhg7Vp5YdioUUCXLnKc7aRJ1mlsATa3SnPLzDwblO0wb7Uwb7Uwb7XYat6HDgFNmwLduwOVKgHHjwPz5gGlSlm3Di6/y+V3iYiIiDLswgVgzBhgzRrA3V2OsW3TJmufIz39Gs/cEhEREVG6RUfLsbRVqwKHDwOLFwNhYVnf2KYXLygjIiIiojR7+hSYMQOYOFEunTtunBxfa8kZENKDZ24VFhERoXUJZEXMWy3MWy3MWy1a5f38ObBsGVClCvDVV0D//sDFi3JIgq00tgCbW6UFBARoXQJZEfNWC/NWC/NWixZ5798vVxXr3x+oWxc4fRqYORMoUsTqpbwWm1uFzZo1S+sSyIqYt1qYt1qYt1qsmffFi0C3bkCLFoBeL5fKXbcOqFzZaiWkG5tbhdnqVCJkGcxbLcxbLcxbLdbI+/594PPP5XK5f/4phyMcPiyn+rJ1vKCMiIiIiAAAiYnA3LnA2LFAXBzwzTfAZ58BLi5aV5Z2bG6JiIiICNu2yUb27Flg0CDgu++AkiW1rir9OCxBYUFBQVqXQFbEvNXCvNXCvNWS1XmfPg107Ch/ihQBjh0DFizIno0twOZWaXFxcVqXQFbEvNXCvNXCvNWSVXnfuQMMHw7UqgWcPy8vFNuzB8juC7Zy+V0uv0tEREQKiY+X03iNHw/odMC33wJ+fkDOnFpXlrr09Gscc0tERESkiM2bgU8+ASIjgQ8/lKuLFS6sdVVZi8MSiIiIiOxcRATg5QV07gyUKQMcPw789JP9NbYAm1ulRUdHa10CWRHzVgvzVgvzVkt68r5/H/j0U6BGDdngrl8P/P47UL26BQvUGJtbhQ0ePFjrEsiKmLdamLdamLda0pJ3UhLwyy9yJbG5c+X42jNngK5d5Thbe8bmVmGBgYFal0BWxLzVwrzVwrzV8rq89+8H6tUDPvgA6NABOHcOGDMGyJXLOvVpjc2twjg7hFqYt1qYt1qYt1pSyzsqCujVC2jRQs58cOgQsGQJUKqUlQvUGJtbIiIiomwsLg4IDASqVJFnbRctko1to0ZaV6YNTgVGRERElA0JAWzYAIwaBdy4Iaf4+uorIG9erSvTFs/cKmz+/Plal0BWxLzVwrzVwrzVMn/+fPzzj5za6513gLfeAk6dAiZPZmMLsLlVWnh4uNYlkBUxb7Uwb7Uwb3U8fgz873/hKVN7hYQAW7YAb7yhdWW2g8vvcvldIiIisnFCAGvWyDlr79wBvvgCGD0acHbWujLrSE+/xjO3RERERDbs7FmgbVugZ0+gdm05X21goDqNbXqxuSUiIiKyQQ8fAv7+QM2awOXLwG+/ARs3AhUqaF2ZbeNsCUREREQ2RAhg5Urg88+Be/fkWdrPPlNnEYbMsqszt48fP8bYsWPRsWNHFCpUCHq9HkuWLNG6LJvl7e2tdQlkRcxbLcxbLczbfpw6BXh6Au+9J+epPXtWTu/1cmPLvM2zq+Y2Ojoa//nPfxAREQF3d3fo7H3x5Ezy8/PTugSyIuatFuatFuad/cXGynlq3d2BmzeB7duBtWuBsmWN92Xe5tnVsISSJUvi5s2bKFq0KMLCwlC/fn2tS7Jp7dq107oEsiLmrRbmrRbmnX0JASxdCgQEAI8eARMmyCY3Z87U78O8zbOrM7c5cuRA0aJFtS6DiIiI6LVOnACaNQMGDgRatpTz1o4ebb6xpdezq+aWiIiIyNY9eiQvEKtbF4iJAXbtkheQlS6tdWX2gc2twkJCQrQugayIeauFeauFeWcPQgDr18vlcmfPlkMQjh8HWrVK3+Mwb/PY3CosODhY6xLIipi3Wpi3Wpi37bt8GfD2Bt59V140duZMxocgMG/z2Nz+Py8vL3h7exv8eHh4GH062rFjh8kpOHx9fTF//nyDbeHh4fD29kZ0dLTB9rFjxyIoKMhgW1RUFLy9vREREWGwfebMmfD39zfYFhcXB29vb4SGhhpsDw4Oho+Pj1FtvXr1MnkcT548sYvjsJc8LH0cq1atsovjeBmPI/XjWLVqlV0cB2AfeVj6OJ48eWIXx2Evebx8HPHxwOTJQOXKM7F3rz/Wr5cLMZQrl/HjePn/5/aYR3BwcEovVr58ebi7u+OTTz4xepzU6IQQIs17ZyPJsyUsWrQIAwYMSHW/9KxVTERERJRWBw4Aw4YB584Bo0bJxRjy5NG6quwpPf0az9wSERERZaHoaGDwYKB5cyBfPiAsDPjvf9nYWotdzXNLREREpJXnz4GFC+WctUIAc+YA778P6Hkq0ars7uX+6aefMGHChJRxJhs3bsSECRMwYcIEPHz4UOPqbIupcTBkv5i3Wpi3Wpi39k6dkmdq338f6NxZzln7wQeWaWyZt3l2d+b2v//9L6KiogAAOp0O69evx/r16wEA/fv3R968ebUsz6ZwhRO1MG+1MG+1MG/tPH4MjB8PTJsGVKwI7N4NeHpa9jmZt3l2e0FZWvGCMiIiIsqITZsAPz/g9m3g66+Bzz8HnJy0rso+padfs7szt0RERESWdOUK8PHHQEgI0KGDPFtbsaLWVVEyuxtzS0RERGQJSUnArFlA1arAkSPA6tXAli1sbG0Nm1uFvTrZMtk35q0W5q0W5m15p04BTZsCI0YA/foBZ88CPXoAOp31a2He5rG5VdiUKVO0LoGsiHmrhXmrhXlbztOncjxt7drA/ftyYYbZs4H8+bWriXmbxzG3Clu5cqXWJZAVMW+1MG+1MG/L2LdPTud16RLw1VfAmDG2ccEY8zaPZ24V5uLionUJZEXMWy3MWy3MO2vdvy+b2pYtgSJFgOPH5dK5ttDYAsz7dXjmloiIiAhyVbE1a+RMCHFxcviBpRZiIMthXERERKS8K1eALl2Anj0BDw/gzBlg2DA2ttkRI1OYv7+/1iWQFTFvtTBvtTDvjHt5eq9jx4B16+RPqVJaV5Y65m0em1uFubm5aV0CWRHzVgvzVgvzzhhT03u9847WVb0e8zaPy+9y+V0iIiKlPH0KfPcdEBQEVKoE/PKLbHLJdnH5XSIiIiITQkOBIUPk9F5ffw188YXtzIJAWYPDEoiIiMjuPXokZ0Fo3hwoVEhO7zV2LBtbe8TmVmERERFal0BWxLzVwrzVwrzN27ULqFEDmD8fmD5drjJWtarWVWUc8zaPza3CAgICtC6BrIh5q4V5q4V5mxYbK+epbdMGKF8e+PtvefbWwUHryjKHeZvHMbcKmzVrltYlkBUxb7Uwb7Uwb2ObNwMffgg8eAD8/DMwdKj9zFnLvM2zk5gpIziViFqYt1qYt1qY9wsxMcCAAUDnznIowqlTssm1l8YWYN6vwzO3REREZBfWrQOGDweePQMWLZJNrk6ndVVkbXb0OYaIiIhUdPu2XDa3WzegUSO5dO7AgWxsVcXmVmFBQUFal0BWxLzVwrzVomreQgArVsiZD/bsAVauBNavB0qU0Loyy1I177Ric6uwuLg4rUsgK2LeamHealEx72vXgC5dgL59gbZt5dnaXr3UOFurYt7pweV3ufwuERFRtiEEsHAh8OmngLMzMHs20LWr1lWRpaWnX+OZWyIiIsoWrl4FvLzk8rnvvCPP1rKxpVdxtgQiIiKyaUIAS5fKBRhy55Zz2Hp5aV0V2SqeuVVYdHS01iWQFTFvtTBvtdhz3jdvyrOzAwcCb78t561VvbG157yzAptbhQ0ePFjrEsiKmLdamLda7DXv1auB6tWBw4flHLZLlwIFCmhdlfbsNe+swuZWYYGBgVqXQFbEvNXCvNVib3lHR8uZD3r1Alq1kmdr33lH66psh73lndU45lZhnB1CLcxbLcxbLfaU94YNwAcfAImJct7aXr20rsj22FPelsAzt0RERKS5e/fkcrlduwINGwKnT7OxpYzhmVsiIiLS1LZtcnqvx4+BRYtkk6vCYgxkGTxzq7D58+drXQJZEfNWC/NWS3bN++FDOQShY0d54dipU3JWBDa25mXXvK2Fza3CwsPDtS6BrIh5q4V5qyU75r1nD1CjBhAcDMyZI8/eli6tdVXZQ3bM25q4/C6X3yUiIrKauDjgiy+AmTOBli2BBQuA8uW1ropsXXr6NY65JSIiIqsICwP69QMuXwamTwdGjAD0/A6Zshh/pYiIiMiiEhOBCROARo0AFxcgPBwYOZKNLVkGz9wSERGRxVy8CPTvDxw5AowZA3z7LZAzp9ZVkT3jZyaFeXt7a10CWRHzVgvzVost5i0EMG8eUKsWcOsWcOAA8N13bGyzgi3mbUvY3CrMz89P6xLIipi3Wpi3Wmwt79u35WIMQ4cCffoAx48DjRtrXZX9sLW8bQ2HJSisXbt2WpdAVsS81cK81WJLeW/cCLz/vvzvDRsAnmTMeraUty3imVsiIiLKtEeP5JnaLl3khWN//83GlrTBM7dERESUKQcPyovGbt0CfvlFLqXLVcZIKzxzq7CQkBCtSyArYt5qYd5q0SrvhATg66+BZs2AYsXk2Nr332dja2l8f5vH5lZhwcHBWpdAVsS81cK81aJF3ufOAR4eQFAQMH48sH8/UKmS1ctQEt/f5nH5XS6/S0RElGZCAPPny0UYSpcGli8H6tXTuiqyd+np13jmloiIiNIkJgbo0UNeOPbee3KlMTa2ZGt4QRkRERG91t698qKxx4+BNWuAbt20rojINJ65JSIiolQlJABffQW0aiXH1J44wcaWbBubW4X5+PhoXQJZEfNWC/NWi6XyvnABaNoUmDIFmDAB+P13oEwZizwVpQPf3+ZxWILCuMKJWpi3Wpi3WrI6byGAJUsAPz85xdcffwANGmTpU1Am8P1tHmdL4GwJREREKe7fB4YNA1atAgYOBGbOBPLm1boqUl16+jWeuSUiIiIAQGgo0LcvEBsLBAcDvXtrXRFR+nHMLRERkeISE4GxY4EWLeSY2hMn2NhS9sXmVmGhoaFal0BWxLzVwrzVkpm8r1wBWraUF4yNHSun/CpbNstKIwvg+9s8NrcKmzJlitYlkBUxb7Uwb7VkNO+NG4FatYCoKGDfPuDbbwFHDli0eXx/m8fmVmErV67UugSyIuatFuatlvTm/eyZXD63SxegeXPg+HGgSRMLFUdZju9v8/j5TGEuLi5al0BWxLzVwrzVkp68z5+X42lPnQJmzJDTfel0FiyOshzf3+bxzC0REZEiVqwA6tQBHj4EDh0CRoxgY0v2h80tERGRnXv8GBg8WE7z1bUrEBYmm1wie8TmVmH+/v5al0BWxLzVwrzVYi7vv/8G6teXizIsXChXHuOiDNkb39/msblVmJubm9YlkBUxb7Uwb7WYylsIYM4cuWyuoyNw7BgwaBCHIdgDvr/N4/K7XH6XiIjszP37wAcfAL/+Cnz0ETB1KuDsrHVVRBnH5XeJiIgUFRYG9OgBxMQAa9YA3bppXRGRdXFYAhERkR0QApg9G2jcGChUCPjrLza2pCY2twqLiIjQugSyIuatFuatlrCwCLz3HjB8uByOEBoKlC+vdVVkKXx/m8fmVmEBAQFal0BWxLzVwrzV8fffQIsWAdi8Wc6IMHMm4OSkdVVkSXx/m8fmVmGzZs3SugSyIuatFuathkWLgIYNgTJlZuHYMaBnT60rImvg+9s8NrcK41QiamHeamHe9i0uTi7K4OMDvPceEB7uhsqVta6KrIXvb/M4WwIREVE2cu4c0L07cPGiPHM7cKDWFRHZFp65JSIiyiZWrgTq1QMSE4E//2RjS2QKm1uFBQUFaV0CWRHzzn6EAOLjgQcPgNu35U90tJy/9P594NkzuY8pzNu+PHsmZ0Lo0wfw9gaOHgWqV39xO/NWC/M2j8MSFBYXF6d1CWRFzNs2CAHcuAFcuABcvfri59o14O5d2bjeuyd/4uJSb16TOToCefLIn0KFgKJF5c+FC3HImRMoV+7FT4ECVjhAynJRUXIYwokTwM8/y6m+Xl1Cl+9vtTBv87j8LpffJSILEAK4fh04flz+/P038M8/8ufx4xf75c8PlC4NlCwJFCkCFCwofwoUAHLnBnLlktM6OTkBej2QlAQ8fy7/fPoUePToxc/duy/O8N66JZuil/8NLFIEqFYNqFpV/lm3LlCrlnwOsk2//y7P1rq4AGvXyiEJRCri8rtERFb2+LH8qviPP4CDB+V4yOhoeZurK1CzJlC/PtC3L1C5MlCpElCmjDzjailCyBouXwYiI4GICODMGWD/fuCXX4CEBHnmt0YNoEEDoEUL+VOypOVqorR5/hwICgK+/hpo0wZYvhwoXFjrqoiyBza3REQZkJAAHD4M7Nwpf44elWdT8+UDPDwAX1+gdm3A3R1wczP+GtkadDp5trZIEdlYv+zZM3k2+ehR+bNvHzBnjrztjTdkQ+XlBXh6yjPIZD3378sLxTZulM1tYCDg4KB1VUTZB5tbhUVHR6MwTwUog3lnXnQ08NtvQEgIsGuXHApQsCDQurVsRpo0kV/520Ij8rq8nZzkV9z16gEffSS33bolz+ru3Qts3w7Mni33a9lSjvl89115vGQ5f/8tX+c7d2Rz+/bbabsf399qYd7mcbYEhQ0ePFjrEsiKmHfG3LwJzJghG7xixeTE+XfuAGPGyDOet28Dq1cDw4bJr/dtobEFMpZ3sWJAjx7ATz/JC97OnQMmT5ZnqT/8ECheXDZby5cDDx9aoGjFLV8uVxtzcQGOHUt7Ywvw/a0a5m0ez9wqLDAwUOsSyIqYd9o9fCjPzi5bJi/ocXAA2raVV6q//bZs8mxdVuRdubL8GTVKNvm//irnWe3XT16E1q2bnJ7Kw0ObYRf2Ij4e+OwzYNYs+drOmSMb3PTg+1stzNs8zpbA2RKICPLiq2PHgLlzgeBgeYFYs2ay2ejenV/Hv+zff2WT+8svcpWsWrVkk/vee5a9QM4eXb8uz5YfPQpMny6HiPCDApGx9PRrHJZAREqLi5MNbd26csaA7duBgAA5w8D+/XJOUTa2hsqWBUaPltOabdsm//7RR0CpUvIM5I0bWleYPfzxB1CnjvywsH+//IDAxpYo89jcEpGSbt0Cvv1WzmQwbJhszDZtAi5dktvLltW6Qtun1wPt2wMbNsjXzdcXmD8fKF8e8PMDrlzRukLbNWeOnImicmUgLAxo1EjriojsB5tbhc2fP1/rEsiKmLcUGQkMHSqb2mnT5Ffp58/LxrZzZ9u5ICyzrJ23mxswcaI8C/nNN3JoR8WK8rX+91+rlmLTnj2T3wYMGyYv0tu1S17Il1l8f6uFeZvH5lZh4eHhWpdAVqR63hcuAD4+8kzZpk3AuHHyzOKMGbIJszda5Z0/P/DVV7KhnTBBTmdVpQrw5ZecYeH6dXm2dvFiYMECYOZMIEeOrHls1d/fqmHe5vGCMl5QRmTXrlwBxo4FliyRixmMHi3PnKX3anTKmIcP5UpbU6fKxve77+SHDHs5Q55Whw7J2SV0OmDdOjnlFxGlHS8oIyLl3b8PfPGFXG1r82bZXEVGymmt2NhaT968sqE9d04udjF0qFw44uhRrSuznnnz5LLGFSrI8bVsbIksi80tEdmVxET5dW+lSvLPgAA5JGHkSMDZWevq1OXmJhcpOHxYXojWqJHMJi5O68osJz5eziIxdCgwZAiwe3f2mCOZKLtjc0tEdiM0VE7pNXIk8M478kKx8ePl2UOyDQ0bAkeOyIvPZsyQc+Tu26d1VVnv1i15pnr+fDnV3OzZQM6cWldFpAY2twrz9vbWugSyInvO+/ZtYNAguehCrlzAn3/KBQZKltS6Mu3Yct6OjnLs84kT8kxmy5bAp5/KM5324MQJOWfyhQuycR861PLPact5U9Zj3uaxuVWYn5+f1iWQFdlj3kIAK1YAVasCv/0mz5AdOiTHdKouO+RdpYps/qZNk0vPNmsm58vNztavBxo3BgoXluOKPTys87zZIW/KOszbPDa3CmvXrp3WJZAV2Vve168DXboAffsCbdsCZ8/KM2R6/l8NQPbJW68HPvlErtZ15w5Qu7acTSC7EUJOffbuu0CnTsCBA0Dp0tZ7/uySN2UN5m0e/xkgomwnOBioVk0OP1i/Xv69SBGtq6LMqF8fCA8H2rSRU2Z9/jmQlKR1VWnz5IlcDOTrr+X8yatWcUYOIi2xuSWibOPhQ2DgQNlIdOwInDkDdO2qdVWUVVxdgV9/BaZPB374QZ4FffRI66rMu34daN5cLkH8669y6WadTuuqiNTG5lZhISEhWpdAVpTd8/7zzxdfWS9ZIqeVKlhQ66psV3bNW6eTs11s2iSnzmrWDLh6VeuqTDt6VJ5xvnlTztTRvbt2tWTXvCljmLd5bG4VFhwcrHUJZEXZNW8h5MVGTZoAhQoBx48D/fvz7NjrZNe8k3l5yXG4d+/K6cNOntS6IkMrV8oztmXKyA9eWi9wmd3zpvRh3uZlqrlNyi4DosikVatWaV0CWVF2zDsuDhgwABgxAvD1lWfHKlbUuqrsITvm/aqaNWXjWKwY4OkpV/fS2vPnwDffAH36yLHBe/cCJUpoXZV95E1px7zNy1Rzu2TJEnz99ddYsmQJEhISUrYvWrQIhw8fznRxRKSuyEg5jdK6dXK6r+nTgRw5tK6KrK14cTk84Y035KIIWv7T8vgx0KOHnBVh0iRg6VI5rzIR2ZZMNbc+Pj747rvv4OHhAX9/f2zevBlPnjxB8+bN+amCiDLsjz/kV9FxcbKZ6dNH64pIS66uwM6d8kxu27bA/v3WryH5wrHt2+UMHV98waExRLYqU83t2rVrUbduXVSrVg0zZszA22+/jTx58qBWrVrw9PTMqhqJSCHLlwOtWsmpvo4cAWrU0LoisgV58wJbt8oPPZ06AceOWe+5T56Uz3vrlvzg1aWL9Z6biNIvw83tpk2bMGvWLHzwwQdYv3499uzZgz179mD9+vUIDAzk0nDZgI+Pj9YlkBXZet5CyDlC+/WTZ2p37OBsCJlh63lnRO7cwMaNQPXq8oKz8+ct/5zbtwNNm8p5lI8cAWrVsvxzZoQ95k2pY97mOWb0jmFhYdi9ezd0Jr6XWbRoEf755x9Urlw5U8WRZXGFE7XYct5JSYCfH/Dzz8B33wFffsmvfDPLlvPODBcXudRy06ZAu3bAwYOWu6Brzhx5IWOHDnJ2hDx5LPM8WZzjNF4AACAASURBVMFe8ybTmLd5GT5z6+TkZLKxBYB+/fph/fr1GS6KrKMPBzIqxVbzjo+XZ2vnzgXmzQO++oqNbVaw1byzQqFC8oxqQoJsPLN6oYfnzwF/f2DYMOCjj+QCDbbc2AL2nTcZY97mZbi59fT0xEcffWQwS0IyR0dHJCYmZqqwjIiPj8fo0aNRunRpuLi4oFGjRvj999+tXgcRpU1cnFxhbN06ubrTkCFaV0TZhZubbHAvXQJ8fOSwlqwQFwf07AlMnSpn6Jg5E3BwyJrHJiLryHBz26hRIxQtWhTVq1fHjBkzcOHChZTbDh8+jCdPnmRJgekxYMAATJ8+Hf369cOMGTPg6OgILy8vHDx40Oq1EJF5T54A3t7Avn3A5s1yqVWi9KhWDVi8GFizBvj++8w/3q1bcj7drVvljAgjR2b+MYlIAyKTli5dKsqUKSP0er1wdnYWBQoUELVr1xbR0dGZfeh0OXLkiNDpdGLatGkp254+fSoqVaokmjRpkur9wsLCBAARFhZmjTJtyoEDB7QugazIlvKOixOibVshXFyE2LtX62rsky3lbWlffimEXi/Ezp0Zf4zTp4UoV06I4sWFOHYs62qzFpXyJjXzTk+/lunld/v164fLly8jNDQUCxcuREhICI4ePYpChQplvvNOhzVr1sDR0RFDhw5N2ebk5IQhQ4bg0KFDuHbtmlXryQ6mTJmidQlkRbaS99OncihCaKg8Y9uihdYV2Sdbydsaxo+X89/27g3cuJH+++/dCzRuLMfVHjkC1K2b5SVanEp5E/N+nUw3twCg1+vh4eGBXr16oXnz5nDQYIDS8ePHUblyZeR5ZdR/gwYNUm4nQytXrtS6BLIiW8g7MRHo1Qs4cEBe8d6ypdYV2S9byNtaHByAZcvkCnbvv5++8berVgHt2wP168sPXG5ulqvTklTKm5j362RJc2sLbty4gRIm5oMpUaIEhBC4fv26BlXZNhcXF61LICvSOm8hgA8/BLZsAdaulQs1kOVonbe1FS4sZ9vYsgX45Ze03Wf6dHm2t2dP+S1C/vyWrdGSVMtbdczbvAzPcxsaGooFCxYgMjIS9+7dg3jlo7JOp8OJEycyXWBaPXnyBE5OTkbbc/3/wt9aXOBGRC98+SWwYAGwdCnQsaPW1ZA96tQJGDoU+PRToHVroGJF0/s9fw4EBMgZEQICgEmTAL3dnOohe3fxovwztd9vymBzO23aNPj7+yNXrlyoUqUKCtrAMkLOzs549uyZ0fanT5+m3E5E2pgxA5g8GZg2Tc5pS2QpU6cCv/8OfPCB/PPVOZPj4+XUYcHBwI8/Ah9/rE2dRBk1apT8MLZhg9aV2K4MfVb9/vvv0aRJE1y/fh3h4eEpS++++mNNJUqUwA0TVxIkbytZsqTZ+3t5ecHb29vgx8PDAyEhIQb77dixw+TSwr6+vpg/f77BtvDwcHh7eyM6Otpg+9ixYxEUFGSwLSoqCt7e3oiIiDDYPnPmTPj7+xtsi4uLg7e3N0JDQw22BwcHm1ySr1evXiaPo1KlSnZxHPaSh6WP4+W6rXkcW7YAI0f6ol27+fjkk8wfx8uycx6WPg5/f3+7OA4gfXmcPx+OokW9sXt3NNasMTyOceOC4OUlpw5buRLo2tV2jyO9eVSqVMkujsNe8rDkcdy8GYLTp188TnY9DnN5BAcHp/Ri5cuXh7u7Oz55+R+Q18nIdAz58uUTs2fPzshdLcbf31/kyJFDPHz40GD7hAkThF6vF1evXjV5P5WnApsxY4bWJZAVaZH3qVNC5M0rxNtvC5GYaPWnV5rq729vbyHKlBHi0SP59+vXhahVS4j8+YXYs0fT0ixC9bxV0rmzENWrq5e3xacC8/T0xKlTpzJyV4vp3r07EhMTMXfu3JRt8fHxWLRoERo1aoRSpUppWJ1tGjFihNYlkBVZO+/oaODtt4Fy5YDly7nKk7Wp/v7+4Qfg9m05nvbcOcDDQ/5OHjhgn7N0qJ63aipWZN7mZKi5nTlzJnbt2oWpU6ciJiYmq2vKkAYNGqBHjx4YM2YMRo8ejV9++QWenp74999/OR8ckZUlJckpvx49AjZtAvLm1boiUk2FCoC/PzBhAvDmm0Du3MChQ0CNGlpXRkSWlqELysqUKYMPP/wQn3/+OQICApArVy6juW11Oh1iY2OzpMi0Wrp0Kb755hssW7YM9+7dQ82aNbF582Y0adLEqnUQqS4wUE6M//vvQNmyWldDqqpX78V/HzgA2MC1z0SZlp55nFWVoeb222+/xYQJE1CqVCnUq1cP+W1kcsCcOXMiKCjIaFA0mRYREYE333xT6zLISqyV99atwHffARMnAp6eFn86SoXq7+8NG+S3B8nsfTZI1fNWSWIiEB8fAYB5pyZDze3PP/+MTp06ISQkBHpODphtBQQEYOPGjVqXQVZijbyvXJFTfXXqBIwebdGnotdQ+f29eDEwZAjwzjvA7NlAlSpy7O2sWVpXZjkq562axETg7NkAAMw7NRnqTOPj49GpUyc2ttncLHv+Pz0ZsXTez58DAwbIsY1LlnBSfK2p+v7+8Udg0CA5l+3KlXLlsk8/lauXvTL7kV1RNW8VJSQADRsyb3My9M9P586dceDAgayuhazMLbsuok4ZYum8f/gB2LdPNrYc26g91d7fQgDffisnuA8IAObOfTFDx4cfyj9fmfLTrqiWt8oSEwFXV+ZtToaa27Fjx+LMmTMYPnw4wsLCcOfOHcTExBj9EJEaTp6Uy+t++ql9TrNEtu35c7nS2H/+I1fCCwoyXJmscGGgd285RCEpSbs6ibJCfDzgmKFBperI0MtTpUoVAMDx48cxZ86cVPdL4v9FiOxefDzQv78c1zhhgtbVkGqSkoChQ4FFi4A5c+Syu6b4+sqxuJs3AyYWcyLKNh4+BPLl07oK25bh2RJ0ry7YTdlOUFAQRvOqH2VYKu+gIOD0aeDYMcDJKcsfnjJIhfd3YiIwcKAcW7t0KdC3b+r71q8vf+bNs8/mVoW8SYqNBU6cCALAvFOToeY2MDAwi8sgLcTFxWldAlmRJfKOiJDTfvn7A+7uWf7wlAn2/v6Ojwfee09O+bVqFdC9++vv07ev/F29fx9wdbV8jdZk73nTC7GxgIMD8zZHJ0TapgMODw9P94PXqVMn3fextvDwcNStWxdhYWHZol4iW/H8uRxfe+OGHHPr7Kx1RfR/7d15XFTl9wfwzyCKLJZriltqbpmSWy6R+lUT0xTNcjdLcMncssTcKtdKrSy3SlPRLMwylxbTTAypXMlUEvctARXcRVFxfn+cnzuMLDP3uXOfz/v1mtfYADNnOt7xcO/znKOLy5eB9u2B1auB776TMc+ZcewYUKoUMG+enPElcjdXrwJ58gBz50pHEJ1kpV7L9Jnb2rVrZ3opgt1uh81m45pbIgubO1emPv32GwtbMk5KivSvjYqSs7bPPJP5ny1RAnjqKTnTy+KW3NHp03JvtSsPzpbp4nbevHmujIOI3MjZs9IdoVs3oEkT1dGQLi5ckLO0mzbJxrDs/N3r0AEYPBg4d46bcsj9JCTIffHiauMwu0wXty/x11zLSUpKQuHChVWHQQZxZr7HjQMuXpS2S2ROVju+z54FWrYEduwAVq2SM7DZ0by5bESLigJatXJujCpZLd+Uvvh4uc+bNwkA850RzhDSWEhIiOoQyEDOyvfevcDUqcDw4XKZl8zJSsf3uXOy/ODff4E1a7Jf2AJA+fKy7va335wXnxlYKd+UsRvF7ciRzLcjbAOsMXa90Iuz8j1kiFwSe+MNpzwduYhVju/z54EWLYBdu6QgrVUrZ89nswFNm1qvuLVKvsmx+HjgoYeAsWNHqw7F1HjmVmPsDqEXZ+T7r7+AFSuAd9/lJjKzs8LxfeGCLEXYuVM6I+S0sL2haVNZ3pCc7JznMwMr5Jvu7+hRObnAfDvG4paIMu2tt4CqVWWUKZErXbwoa2L/+UfW2Nap47znfuIJud+2zXnPSWSEgweBcuVUR2F+XJZARJkSGSmXcpcuBTz4a7Gp2e3AyZPAoUOyXvXyZemP6ecnLYQeekjWnZo1jykpMkVsyxYpbOvVc+7zly8P+PhIcdu0qXOfm8iVDh4E2rZVHYX5mfSjjYwwZ84c1SGQgXKSb7sdGDVKLgu3aePEoMgpTpyQ3q0DBwK1a0sRW7ToHNStCzRrJu2z2rUDgoLkDGiZMvI9NWoAvXsDERHA8eOq34W4dEn+8d6wAfj5ZyAw0PmvkSsXUK2atc7c8vPc+tLSgCNHgLJlme/7YXGrsexMnSP3lZN8r1sH/PknMHasbMgh9c6dAz77TKbE+fvLUpGVK4HHHpM8PfNMDGJigAMHpDfmyZNy1mfbNika331XCuHoaBlj6+8PPP20TO9SNcn16lWZPBYdLX1sGzZ03Ws9/rhM1rMKfp5b37FjcoyULct830+mx+9aFcfvEt1fixayS3fbNha3qh05AkycCCxYIGc5mzUDnn9e1qcWK5a950xMlGLyq6/kF5lChYABA+RWoIBTw89QWpoMBVmyBPjxRznL7EqTJwPjx0v/XCJ38Pvv8svsrl1A5cqqozFeVuo1nrklIoe2bwd++QUYOpSFrUrJyUD//rJedPFi4PXXZU3typVAz57ZL2wB+dnQUGDtWmD/fqBjR+C994AKFYDPP5fC05XsdqBfP3lfERGuL2wBWXN87hyLW3IfBw/KfZkySsNwCyxuicihyZOBhx+WsaVkPLtdlgpUqgQsXChLDg4eBMaMAUqWdP7rlS0LTJ8uyxlatQJeeUWWB9z4h9UVhg+XIvqLL+QstBFKlZL7o0eNeT2inDpwQJYP5c2rOhLzY3FLRBmKj5czaYMHA7lzq45GP8nJsrkqJESWhuzeDQwbJpvBXM3fHwgPl/Wv8fGyRnXZMue/zvvvyzKLjz8GevRw/vNn5EZx+99/xr0mUU4cPCi/fNL9sbjVWHBwsOoQyEDZyfecOXKWwMiig0RMDFC9uhSXy5cDX34JFC2a+Z931vEdGChrrYOCpOPClClOeVoAwKefylnb0aOBQYOc97yZcWMtsVWWJfDz3Ppu73HLfDvG4lZj/fv3Vx0CGSir+b52DZg1S3bSP/CAi4KidK1cKUsBihWTIQbZ+XfMmcf3gw/KetihQ2Wt7+TJOX/OJUtkne1rrwFvv53z58sqHx+5v3jR+Nd2BX6eW9/tZ26Zb8c4xEFjQUbs2iDTyGq+f/5ZLtn26eOigChdy5YBL7wgY2cjIgBf3+w9j7OPbw8PWUKQJ48UuX5+QN++2XuuP/+UzggdOwIffqhmo2KuXHJVwirFLT/Pre3yZVkedKO4Zb4dY3FLROn6/HMZU1qrlupI9LFypWzca9cO+PprwNOEn9Bjxsil/AEDpKduVnvR7tkjZ6Lr1JE1vSqnpPn6Wqe4JWs7fFjuueY2c7gsgYjucfy4tP8KDVUdiT527JABBi1aSL9ZMxa2gJxl/fBDKWo7dMjaZLMTJ+T9PfSQnKH28nJdnJlx/bp5RxAT3e5Gt5Iba27JMR7WGlvmiq3PZFpZyfeiRXLZtn17FwZEN506JWONy5eXM7bO6EzhyuPb01OWTKSlyZrZzLh4UcYAp6TIkhejhkM4cvmyddoq8fPc2g4ckM+FEiXkv5lvx1jcaiwiIkJ1CGSgrOR74ULg2WeBggVdGBDd1LevXOpftiz7a2zv5urju2hR6ZywaBGwerXj701Lk42JsbEyCc0MTejtdiA1Vf3ZY2fh57m17d4tZ21z5ZL/Zr4dY3GrsW+++UZ1CGSgzOZ7925gyxaga1cXB0QAgG++kU4EM2c6t+gz4vju2lVahY0YIcVieux2YOBAKWq//RYwy5Tza9dkWYJVilt+nlvbjh1AtWq3/pv5dozFLRHd4ZtvgHz5ZDoVudaFC9Lf9YUXpHOAu7HZgPHjga1bgR9+SP97PvhACvdPP5X1tmZx8qTcFy6sNg6izNi5E6haVXUU7oPFLRHdYcUKaUNllbWIZjZ5MnDmjGzQclf/+x9Qr56M7L3bokXSNmzkSKBXL8NDcyg+Xu6LF1cbB9H9nDghv4yxuM08FrdEdNN//8lZOA6/cb3kZDmr+dprQOnSqqPJmVdfBX79Fdi799Zj69YBL70EvPgiMG6cstAyxOKW3MX27XLP4jbzWNxqrAdnqmolM/n+8UfZsGCmy8dW9fnnsuZzyBDXPL+Rx3f79nJ5f8YM+e9t26T7Q8OGwBdfqBnScD///Sd/14sUUR2Jc/Dz3Lo2bZIpkRUq3HqM+XaMxa3GOOFEL5nJ94oVUpCYoU2TlV29KpfxX3zRdWs+jTy+8+YFevcG5s6VM7jNmwMVKwLffy8TzcwoLk5ar93Yfe7u+HluXRs2AHXr3tmTmfl2jMWtxjp37qw6BDLQ/fKdmiqXknnW1vUiI4GEBOCVV1z3GkYf36++Kmeig4Kk68PPP8vGRLO6e/e5u+PnuTXZ7cBff8m69tsx346xuCUiAMDGjcClS0DTpqojsb7Fi+WsYY0aqiNxnhIl5PLp4sVAVJS5L/fb7VLccg0jmd2BA0BSElC/vupI3ItJBzwSkdHWrpXlCI8/rjoSa7PbZflHaKg516LmRJUqcjO7+HjZ0GelM7dkTdHRcl+3rto43A3P3Gos+sZRQ1q4X77XrpW2TlZZg2hWu3dLW58mTVz7Ojy+MxYVJfdPPqk2Dmdivq0pMhKoXv3eaZHMt2MsbjU2adIk1SGQgRzl+9Il2bTQuLGBAWkqOlo2hty9hs7ZeHxn7PffgcqVgWLFVEfiPMy39djtctIhvV+EmW/HWNxqbNGiRapDIAM5yvfff8sO/sBAAwPS1PbtQKVKrt9sxeM7Y+vWAY0aqY7CuZhv69m/Hzh6NP3ilvl2jMWtxnx8fFSHQAZylO/NmwEvL65BNMK+fbKZzNV4fKfv8GFZGuLqZSFGY76tZ+1aWSbWoMG9X2O+HWNxS0TYtEl27ufOrToS6zt4EChXTnUU+vr+e/lFji3vyOzWrgWeeEIGOFDWsLglImzeLB+i5HqnTwOFCqmOQl9LlkgvXjP34CVytN6W7o/FrcbCwsJUh0AGyijf584Be/cCtWsbHJCmLl4EfH1d/zo8vu8VHw/8+SfQrp3qSJyP+baW2FjHXVWYb8dY3GqsdOnSqkMgA2WU71275J4N7Y2RmiqXxV2Nx/e9wsNlVHDbtqojcT7m21rWrpXR1Rm1q2O+HWNxq7EBAwaoDoEMlFG+4+LkvlIlA4PRmI8PkJLi+tfh8X2n69eB2bOBjh2B/PlVR+N8zLe1rF0rU8m8vdP/OvPtGItbIs3t2gWULm3MpXKStZ7nz6uOQj+rVwOHDgF9+qiOhMixtDRpV8f1ttnH4pZIc7t2AY8+qjoKfRQuDJw4oToK/UydKqOlOcaUzO7vv4GzZ1nc5gSLW43F3bgeTVrIKN9793JJgpHKl5f/567G4/uWrVuBlSuBN98EbDbV0bgG820da9fK8qU6dTL+HubbMRa3Ghs6dKjqEMhA6eXbbgeOHAEeflhBQJqqUMGY4pbH9y0TJsj/9w4dVEfiOsy3daxdK4Mb8uTJ+HuYb8dY3Gps+vTpqkMgA6WX79OnpTUVN94aJyBARmoeP+7a1+HxLf75B1i6FBgxQqY9WRXzbQ2XLwPr199/SQLz7RiLW42xlYhe0sv3kSM3vmZwMBq7MUpz/XrXvg6Pb7kyMXiwLLvp2lV1NK7FfFtDVJR0U7nfBD3m2zEWt0QaO3pU7kuVUhuHTkqUAB55BIiMVB2J9S1bJv+fP/qIo6XJPfz0k3wes+94zrC4JdJYfDzg4QEULao6Er08+6xcKk9LUx2JdV2+DAwZAjzzDNCypepoiDLn55/l88GqGx+NwuJWYxMnTlQdAhkovXyfPi0N7T34SWCoTp2AhAQgOtp1r6H78f3228B//8lZWx3onm8r2LMH2Lcvc7+MMd+O8Z80jaUYMSaJTCO9fJ8+DRQooCAYzdWrJx0qFixw3WvofHxv2AB8+CEwZow+PZx1zrdVfPedDNNp2vT+38t8O2az2+121UGoFBMTg1q1amHr1q2oWbOm6nCIDNW7tzQM37xZdST6ee89Kb4OH+ayEGdKSQFq1QIeeAD44w/A01N1RESZExAga22//lp1JOaUlXqNZ26JNHZjWQIZr08fKbxmzlQdiXXY7UC/fvILw7x5LGzJfcTGAjt2yJIlyjkWt0QaO38eyJdPdRR6KlgQCA2VsbDJyaqjsYY5c4DwcOCzz4AqVVRHQ5R533wDPPgg0Ly56kisgcWtxpKSklSHQAZKL99XrgBeXgqCIQAyWCAtTZYnOJtux/eWLUD//rLUpnt31dEYT7d8W8n168BXXwHt2mX+85j5dozFrcZCQkJUh0AGSi/fV686HvFIrlW0KDBqlCxN2LXLuc+t0/F96BDQqhXw+OPAJ5+ojkYNnfJtNZGRwIEDQFZSyHw7xuJWY6NHj1YdAhkovXxfucLm9qoNGiRDHV5+Gbh2zXnPq8vxfeqUTHPy9QV++AHIm1d1RGrokm8r+uILoHJlIDAw8z/DfDvG4lZj7A6hl/TyzTO36nl5SUuwrVuBd9913vPqcHyfPw+0bg2cPAmsXAk89JDqiNTRId9WlJwMfP890LNn1gY3MN+Osbgl0lhaGgc4mEHdurL+duxYYP161dG4h/Pn5Yztzp0ysrRiRdUREWXdl19Kl48XX1QdibXwnzUijeXJI2dvSb233gIaNJBNJQcPqo7G3M6dk8J2xw5g9Wr55YDI3djtsiShTRu9rzq4Aotbjc2ZM0d1CGSg9PKdJw+QmqogGLpH7twyoejBB+VS+9mzOXs+qx7fx44BDRvKGVsWtrdYNd9WtmGD9Lft1SvrP8t8O8biVmMxMTGqQyADpZdvLy/ZVEbmUKiQbIo6dkzOTJ47l/3nsuLxvWOHjC4+dQqIjmZhezsr5tvqvvhCxnA//XTWf5b5dozFrcZmzJihOgQyUHr5zpOHxa3ZPPoo8OuvwL//SoF7/nz2nsdqx/fSpbKbvHBhOeNVtarqiMzFavm2unPngEWLpP1XdvY9MN+Osbgl0pi3N5CSojoKulvt2lLg7twJNGkCJCSojkida9eAsDBZixwUBERFAcWLq46KKGcWLQIuXwZ69FAdiTWxuCXSWMGCcomXzOeJJ4B166SwrVMH+Ocf1REZb/9+4H//A6ZMAT76CPj2W46LJmv44gvgmWeAUqVUR2JNLG6JNFaokPRZJHOqUQPYuFF2UgcGAhERqiMyxvXrwIwZQEAAEB8vRf7gwVnrA0pkVv/8A2zenL2NZJQ5LG41FhwcrDoEMlB6+WZxa34lSsil+OBgoEsXuYyZmXW47np8b98ONG4M9O8vU9u2bweeekp1VObnrvnW0RdfyOjtZ5/N/nMw346xuNVY//79VYdABkov34UKAWfOOHfsKzmfry/w1VdAeLhcmq9SRTZY2e0Z/4y7Hd+nTwMDBsjZ6uPHgTVr5Oytn5/qyNyDu+VbVykpwMKF8otbTkafM9+OsbjVWFBQkOoQyEDp5btwYSmQePbW/Gw24KWXZJPZ44/LBqs2bYADB9L/fnc5vs+dA8aPB8qVA+bPByZNkrO1TZuqjsy9uEu+dRcRIT2se/fO2fMw346xuCXS2I3NDP/9pzYOyrwyZaQX7pIlQEwMUKkS8OqrsjbVnSQlSVFbtqzcd+8O7NkDvPGGtKgjshq7HZg+HWjZUn6ZI9dhcUuksRvF7dGjauOgrLHZ5Mztnj3AhAnSVqhsWSA0VCYemdn27UDPnvJ3b8IEoFMn6YrwySdAsWKqoyNynb/+ArZtk/Xk5FosbjW2bNky1SGQgdLLd5EiMqXsyBEFAVGO+fgAQ4cCBw8CY8cCv/wiww0aNwYGDVqGixdVRygSE6WdV40asqTil1+At9+WX6pmzJBNc5Qz/Dw3vxkzgPLlpV9zTjHfjrG41ViELn2FCED6+bbZ5Awai1v39uCDwJtvSpG7cKHkderUCBQrBnToIJvRTp82Lh67XUblvv++tDArUQIYNkwuxS5dKnEOHy5rvsk5+HlubocOAd98I5smszOR7G7Mt2M2u93Rflvri4mJQa1atbB161bUrFlTdThEhmvaVIY5fPut6kjImQ4eBL7+Gli2DNiyRf5BrV4daNRICs7q1WUpgzP+oT19Wja6bd4MREfL7eRJ6fLQrBnQqpUsoyhQIOevReSO+veX5UOHD8txQVmXlXrN06CYiMikHn0UiIxUHQU5W9mywMiRcvvvP2DVKuD334HvvpMlAoC02Xr0UdmkVqaMnGEtUADIn18mgXl4yFlgu116654/Lzu9jx2TJQVHjwJxcbc2s+XNC9SrB/TpAzRoADRsKI8R6ez4cWDOHGDECBa2RmFxS6S5xx4DPv8cuHKFu9StqmRJ2WwWGir/nZgoU5L++QfYvVsumcbESJF66ZLj5/LwAPz9ZTlLqVIyVKJqVblVrMi/Q0R3++QTwNMT6NdPdST6YHFLpLmqVWWIw5498meyvmLF5Na8+b1fS02VwR4XLsgY3BsL1/LlAx54QDaxcQwuUeacOAFMmwb07SvLv8gY3FCmsR49eqgOgQyUUb4fe0zuzd5CirImu8e3l5eMBn3kEaBCBTkbW7GinK319WVha1b8PDenCRPkasebbzr3eZlvx1jcaowTTvSSUb4LFpTCZccOgwMil+LxrRfm23wOHgQ+/VQK20KFnPvczLdj7JbAbglEaNUKSEsDVq5UHQkRkTW8+CKwZg2wbx83kjlDVuo1nrklItSpA2zadGt9JRERZd/27dJf+u23WdiqwOKWiFCnDnDqlIxBJSKinBkxQtat9+ypOhI9sbjVWHR0tOoQyECO8v3EE3K/aZNBwZDL8fjWC/NtHuvXAz/9BIwfZZyzEgAAIABJREFUD+TO7ZrXYL4dY3GrsUmTJqkOgQzkKN+FCsnM840bDQyIXIrHt16Yb3Ow22UDWY0aQPv2rnsd5tsx9rnV2KJFi1SHQAa6X74DA2WCFVkDj2+9MN/msHw58NdfMhHQGaOtM8J8O8Yztxrz8fFRHQIZ6H75btpUJladOGFQQORSPL71wnyrd/UqMHQo0KwZ4OpOXcy3YyxuiQiAFLcAEBmpNg4iInc0a5a0/Zo8WXUkxOKWiAAAxYsDjz4K/Pab6kiIiNzL2bPA6NHAyy8Djz+uOhpicauxsLAw1SGQgTKT76eflqbj7Hfr/nh864X5VmviRODiRWDcOGNej/l2jMWtxkqXLq06BDJQZvLdvLmMjIyLMyAgcike33phvtU5ehSYMgV44w2gRAljXpP5dozjdzl+l+imy5eBIkWA4cOlCTkRETn20kvAL7/Iett8+VRHY10cv0tE2ZI3L9CiBbB0qepIiIjM7++/gS+/BMaMYWFrJixuiegObdsCW7bIpTYiIkqf3Q4MHgxUqsQxu2bD4lZjcVxYqZXM5vvZZ2Vk5LJlLg6IXIrHt16Yb+MtXCiDb6ZOBTwNHonFfDtmmeI2MTERw4YNQ5MmTfDAAw/Aw8MDUVFRqsMytaFDh6oOgQyU2Xw/+KB0TVi82MUBkUvx+NYL822s06dlA1nHjjK0wWjMt2OWKW53796NyZMnIz4+HgEBAbDZbKpDMr3p06erDoEMlJV8d+kCREcDhw65Lh5yLR7femG+jTVihGzA/egjNa/PfDtmmeK2du3aSE5ORlxcHAYPHqw6HLfAViJ6yUq+27YFfHyAr792YUDkUjy+9cJ8G+f334HPPwfGj5fhNyow345Zprj19fVF/vz5VYdBZAl+fsBzz8kuYL2bBRIR3XLunLT+atAA6NdPdTSUEcsUt0TkXF27yjCHv/9WHQkRkTkMGgScOgXMnw/kyqU6GsoIi1uNTZw4UXUIZKCs5rtZM6BoUeCLL1wUELkUj2+9MN+ut2wZEB4OfPIJUKaM2liYb8dMWdza7XakpqZm6kbZl5KSojoEMlBW8+3pCfTuDSxYAJw966KgyGV4fOuF+Xat48eBXr2ANm2Al19WHQ3zfT+mLG6joqLg7e1935uPjw/27NmjOly3NWbMGNUhkIGyk+8+fWRH8IIFLgiIXIrHt16Yb9ex22VIg4cHMGsWYIZmTMy3Y6YsbitXrozw8PD73ubNmwd/f3+nvGbLli0RHBx8x61+/fpYdlcn+9WrVyM4OPien+/Xrx/mzJlzx2MxMTEIDg5GUlLSHY+/884791xSOHLkCIKDg+9pzDxt2jSEhYXd8VhKSgqCg4MRHR19x+MRERHo0aPHPbF17NiR74PvI1vvo0QJoHbtCIwa1QPXr7vv+wCskQ++D74Pvg/j38ecOcCPP8bg4YeD4eHhvu8DcJ98RERE3KzFypYti+rVq2epE5bNbrfeXuglS5agQ4cOiIyMRMOGDR1+b0xMDGrVqoWtW7eiZs2aBkVI5D6iooBGjYDVq9U0KyciUmX/fqB6daBDBylySZ2s1GumPHNLxrj7Nzeytuzmu0EDICAAmDLFyQGRS/H41gvz7XxXr0rXmCJFzPf5x3w7Zqnidvz48ZgwYQKWLFkCu92OBQsWYMKECZgwYYLq0EwpJCREdQhkoOzm22YDwsKAlSuB7dudHBS5DI9vvTDfzjd2LLBliwyzeeAB1dHcifl2zFLLEjw8PNIdu2uz2XDt2rV0f0bnZQkxMTHavWed5STfV68C5cvLWdyFC50cGLkEj2+9MN/OFRUFNG4MjBkDjBqlOpp76ZhvbZclXL9+HWlpaffcMipsdafbgaG7nOQ7d27gjTeARYuAQ4ecFxO5Do9vvTDfznP6NNCtGxAYCAwfrjqa9DHfjlmquCUi1wkNBfLnBz76SHUkRESuYbcDr7wiY3YXLuQUMnfF4paIMsXXFxg4UCaWxcerjoaIyPnmzwcWL5Z+tqVLq46GsovFrcbu7n9H1uaMfA8aBHh7A+PHOyEgcike33phvnNu716gf3+ZQNahg+poHGO+HWNxq7GYmBjVIZCBnJHvBx8Ehg0DZs+W/o9kXjy+9cJ858zly0CnTkCxYsDUqaqjuT/m2zFLdUvIDp27JRBlx6VL0jmhcWN2TiAia+jdW8aM//UXUKOG6mgoPdp2SyAi1/P2Bt5+W3o/7tihOhoiopwJD5erUTNnsrC1Cha3RJRlISHAI48AQ4bI7mIiIne0bRvQt698pnEugnWwuCWiLMudW1qCrV4NLF+uOhoioqxLSABatwYeewyYPl11NORMLG41FhwcrDoEMpCz892qFdCiBTB4sKzDJXPh8a0X5jtrUlKA4GC58rRihSy3cifMt2MsbjXWv39/1SGQgZydb5sN+Phj4NgxYPJkpz41OQGPb70w35l3/TrQvTvw77/ADz8AxYurjijrmG/HWNxqLCgoSHUIZCBX5LtiRTlz+957wOHDTn96ygEe33phvjPHbpe9At9/L5ti3XUDGfPtGItbIsqRUaOAggWBAQO4uYyIzO2DD4ApU4Bp04A2bVRHQ67C4paIciRfPtmM8cMPwHffqY6GiCh9X34JDB0KjBwJ9OunOhpyJRa3Glu2bJnqEMhArsz3c8/JbcAA4PRpl70MZQGPb70w34798ou0+goNBcaNUx1NzjHfjrG41VhERITqEMhArs739OnSNSEszKUvQ5nE41svzHfGNm0Cnn9eurt89plshnV3zLdjHL/L8btETvP558ArrwC//QY0aaI6GiLS3Z49QGAgUKECsGYN4OOjOiLKLo7fJSIlevUCGjUCXn6ZyxOISK2EBKB5c6BIEeDHH1nY6oTFLRE5jYcHsGABcP480Ls3uycQkRpnz8oyhKtXgVWrpKML6YPFLRE5VenSwOzZ0jlh7lzV0RCRbi5fBtq2ld7bq1YBpUqpjoiMxuJWYz169FAdAhnIyHy/8ILsSh44EIiLM+xl6TY8vvXCfIu0NODFF4ENG6Q94WOPqY7INZhvx1jcaowTTvRidL4/+UTOmHTuLGdSyFg8vvXCfMsyqFdfleljixYBTz2lOiLXYb4dY3Grsc6dO6sOgQxkdL59feUfmF27gEGDDH1pAo9v3eieb7sdeP11YNYsYM4c608f0z3f98Pilohcpnp16X87a5ZsNCMicoW33gI+/hiYMUO6tZDeWNwSkUuFhgI9ekj/2x07VEdDRFZitwNjxwITJgCTJsmyBCIWtxqLjo5WHQIZSFW+bTY5m1KxokwJOntWSRja4fGtFx3zbbcDw4YB77wDjB+v13REHfOdFSxuNTZp0iTVIZCBVObb21tagx0/LjuZ09KUhaINHt960S3f169LN5ZJk4ApU4CRI1VHZCzd8p1VLG41tmjRItUhkIFU57t8edlg9tNPwJAhSkPRgup8k7F0yvfVq0BIiFwRmjULeO011REZT6d8ZweLW435cBahVsyQ7xYtgKlTZePHzJmqo7E2M+SbjKNLvs+fB1q1Ar7+GvjqKxn5rSNd8p1dnqoDICK99OsH7NsHDBgAlCkDtGypOiIicgcJCcCzzwL798vkscaNVUdEZsXilogM98EHwIEDQMeOQHQ08PjjqiMiIjOLiwOeeQa4dk0+M6pVUx0RmRmXJWgsTKetpWSqfOfKJZcUK1UCmjeXM7nkXGbKN7melfP9xx9AYCDg5wf89RcLW8Da+XYGFrcaK126tOoQyEBmy7efH7ByJZA/P/D008B//6mOyFrMlm9yLavme8kSoGlTICBAztiWKqU6InOwar6dxWa32+2qg1ApJiYGtWrVwtatW1GzZk3V4RBp5+hRmQHv6wtERQGFC6uOiIjMYOpU6YTQsSMQHg54eamOiFTKSr3GM7dEpFSpUsCvvwLJybKm7tw51RERkUrXr8tAhkGDgDfekCVMLGwpK1jcEpFyFSvK7ud9+6TNz4ULqiMiIhVSU4GuXYEPPwQ++QSYPBnwYKVCWcS/MhqLi4tTHQIZyOz5rl5d1uBu2ybtwVjg5ozZ803OZYV8JyfLBtOlS4Fvv5UJZJQ+K+TblVjcamzo0KGqQyADuUO+69eXM7gscHPOHfJNzuPu+d6zR47/2Fjgt9+A559XHZG5uXu+XY3FrcamT5+uOgQykLvkmwWuc7hLvsk53DnfkZFAvXrSInDjRmn7RY65c76NwOJWY2wlohd3yvfdBe7Zs6ojcj/ulG/KOXfMt90u62qDgoBataSHbblyqqNyD+6YbyOxuCUiU7pR4O7YATRoABw7pjoiInKWCxeAzp2l1dfAgcDPP0vPayJnYHFLRKZVv75MJzpzRv7877+qIyKinPr3X6BOHeCnn4DFi6UzQu7cqqMiK2Fxq7GJEyeqDoEM5K75rlJFLlfmzy9r8davVx2Re3DXfFP2uEO+7XZgxgxZggAAmzYB7durjclduUO+VWJxq7GUlBTVIZCB3DnfJUpIUVujBtCsGfDdd6ojMj93zjdlndnzffy49LDu3x8IDQW2bAEefVR1VO7L7PlWjeN3OX6XyG2kpgI9egAREcC77wLDhgE2m+qoiMiRH38EQkLkWJ07F3j2WdURkTvi+F0isiQvLxnF+fbbwIgRwMsvS8FLROaTkgK8+irQurWssd2xg4UtGcNTdQBERFlhswFjxsjI3pAQ4MABmWhUuLDqyIjohpgYGaN7+DAwcybwyiu8ykLG4ZlbjSUlJakOgQxktXx37SrN33fvBurWZSeFu1kt3+SYWfKdlgZMnChDGby9ga1bgb59Wdg6m1nybVYsbjUWEhKiOgQykBXz/eSTsuPa21sue371leqIzMOK+aaMmSHfR44ATZsCw4cDr78ObNjATWOuYoZ8mxmLW42NHj1adQhkIKvmu0wZGdnZrh3QrRvQpw9w+bLqqNSzar4pfSrzbbcDX38NPP44sH8/sHYt8P77QJ48ykKyPB7fjrG41Ri7Q+jFyvn29QXmzwdmzwYWLJCBD/v2qY5KLSvnm+6lKt8nT0qv2q5dgRYtgO3bgf/9T0koWuHx7RiLWyKyBJsN6NlTLoVevCiN4hcvVh0VkXUtXw5UrQqsWyfH2tdfAwUKqI6KiMUtEVnM449Lg/gWLYCOHYEXX5TxvUTkHMeOAc8/D7RtK5s5d+7kpDEyFxa3GpszZ47qEMhAOuX7gQdk0MOXXwIrVgABAXJ2SSc65ZuMyXdamozPffRR4I8/gG++kbO3xYq5/KXpLjy+HWNxq7GYmBjVIZCBdMu3zSYbzHbsAB55BGjSBHjjDX02m+mWb925Ot9r1wK1a8v43K5dgbg4oEMHtvhShce3Yxy/y/G7RJZ3/Trw8cfSoqhCBWDePOCJJ1RHRWR+u3cDQ4fKFZD69YEpU2QpApHROH6XiOg2Hh7Sd3PLFhnhW68eMGSIjAclonslJQEDB8qGse3bZQnCH3+wsCX3wOKWiLRRrZr0xH33XWD6dFmLGxmpOioi80hNBT78EChfXtrrTZgA7NrFJQjkXljcEpFWPD2BN9+Us1HFi8ta3D592FGB9Ga3SzuvKlXk+OjaVXpFDx0K5M2rOjqirGFxq7Hg4GDVIZCBmO87VawoHRRmzJD+nBUqADNnAteuqY7MOZhvveQk37//LssNOnaUTgjbt8txUaSIEwMkp+Lx7RiLW431799fdQhkIOb7Xh4ewKuvyqaZ1q1lJ3hAAPDzz3Imy50x33rJTr7//RcIDpaJYna7LNH58Uc5e0vmxuPbMRa3GgsKClIdAhmI+c5Y8eLA3LnA1q3Ss/PZZ4HmzaWNmLtivvWSlXwnJAC9e8sa9J07pSf0xo0cm+tOeHw7xuKWiOj/1agB/PabNKY/dAioXl2KgMRE1ZER5VxyMjBypGwWW7JENo7t2gV06iRXMYisgn+diYhuY7PJpdqdO6Wn53ffyXrcCROAixdVR0eUdUlJ0uO5TBnp9zxgALB/P/Daa9Iaj8hqWNxqbNmyZapDIAMx31mTJ4/0+dy3D+jVCxgzRiadffKJe0w5Y771kl6+9+0DBg2SonbaNKBfP7ki8f77QP78hodITsTj2zEWtxqLiIhQHQIZiPnOnoIFgY8+kk1nLVvKMIjy5YHPPgOuXFEdXcaYb73cyLfdDqxZIxskK1aUTiCDB98qatkBwRp4fDvG8bscv0tEWbBnj5zFjYgAHn4YePttoFs3IHdu1ZGRzlJSgIULgalTgdhY6foxaBDQuTPg7a06OqKc4/hdIiIXqVgR+Oor6QVaqxYQEiKXfd99V9Y2Ehnp8GFg2DCgVCnglVdkfXhkJLBtm/zdZGFLOmJxS0SUDVWrymazHTtkucK4cVJg9Oolm9GIXOX6deDXX4G2bYFy5YBPPwVeflk2iS1dKi29OCqXdMbilogoB6pWBWbPBo4eBd56SwZAVKsGPP008MMPUogQOcPZs7Ls4NFHgaAg4MABmap37Ji09SpbVnWERObA4lZjPXr0UB0CGYj5dq3ChYERI2TjTkQEcOGCtBSrWFEKknPnjI2H+baOHTuAvn2BEiWAN96QfsxRUcA//wB9+gB+fsy3bphvx1jcaowTTvTCfBsjd25pir9hg9zq1JGCpHhxoGdPmQRlxDZe5tu9nT4tyw3q1JHNYcuXA2FhwJEjwKJFQIMGdy49YL71wnw7xm4J7JZARC527BgwZ47cjhyRpQy9ekmXhYIFVUdHZnH+PLBypUwPW74cuHYNaNEC6NFDWnuxIwfpjN0SiIhMpEQJaRl24ADwyy9ApUq3zuZ26QL89JO5e+aS6yQlAfPmSfFapAjQsaO0mxs3TtZx//AD0K4dC1uirPBUHQARkS5y5QKaN5fb8ePAggXA3LmyRjd/ftn9/vzzQNOmbOFkZf/9ByxbBnz/vaydvX4dCAyUdnLPPceNYUQ5xTO3GouOjlYdAhmI+TaXokVlDeW//0rP3P79gT//lDN4hQvL2br584Hk5Ow9P/NtHnY7EBMDjB4tvZFLlZKpYXnyADNmAPHxwPr1Mv0uu4Ut860X5tsxFrcamzRpkuoQyEDMtznZbNI6bNw4IC5Opku99RaQkCC9Sx96CGjUSEYA79+f+edlvtW6fFnWz/btK8VsrVrAxx/fGgJy8qQsUenTByhWLOevx3zrhfl2jBvKNN5QlpKSAh8fH9VhkEGYb/eTmChrLpcvB9asAVJTgcceA9q0kTZjtWvLUof0MN/Gstvll49ffwVWrZJ8XbwoZ2KDg+XWoIHr1s4y33rRMd9Zqde45lZjuh0YumO+3U+xYtJVoVcv6Zu7erUUup99Jusz8+cHGjeWgRENGwJVqgAe/389jvl2rWvX5Cz7xo1yi4wEDh4EPD2B+vWBUaNkiUmVKsZMC2O+9cJ8O8bilojIDfj5yTrcdu2ksNq0Sc4OrlkDDBokjz34IFCvnhRXTzwhl8KLFlUdufuz26VzwcaN8v9940Zg61YgJUXOnFerBjz7rEwN+9//gHz5VEdMpDcWt0REbsbTE3jySbm9/bac1d28WTak/fmnTEQ7dUq+t1QpWb5w41arFlCokNr4zcxuBw4flg1gt9+OH5evP/ywDFYYOxaoW1emhfn6qo2ZiO7E4lZjYWFhmDx5suowyCDMt3X5+cnyhMaN5b/tdqBPnzA0azYZW7YAW7YAEyfeGgFctuytYrdGDVnH6+9vzOVzM0lNBXbvluUFf/99q5A9fVq+7u8P1KwJ9O4t/6/q1HHO5i9X4PGtF+bbMRa3GitdurTqEMhAzLc+pANDabRvD7RvL49dvy4bnm4Uu5s3y9nHixfl6w8+KOtDy5cHypSR28MPAyVLyrAJd7zUnpYmXQkSE2VZwcGDcjt0SDpT7N0r3wMApUtLITt4sJzdrlFDilt3weNbL8y3Y+yWoHG3BCLSW1qaFLy7dsnt339litqhQ9J79fZ/Hfz8pMgtXlwmrt348+23IkXk+1x5BthulzG1J05I0ZqYKG3T0rs/cUKK+hu8vG4V7hUqyBjkqlWlqC9QwHUxE1HOsVsCERHdV65c0ne1YkVpL3a71FQ52xkfL7djx279+ehRYMMG+fOlS3f+nKendHEoUECmrOXJI0Wll5cUvY5uwK0/2+0Sw+XLcrtwQQZanD4tm+du5+UlywX8/eW+Xr1bf75xX6KE3HuwuzuR5bG4JSKie3h5yRKF8uUz/h67HTh79lbxm5QEnDkjBeiZM1L4pqYCV67Ivd2e8e3G89242WxyFjhvXonF11c2whUsKLciRW4Vrvnz67demIgyxuJWY3FxcahcubLqMMggzLdejMi3zSaFZf78cmmf1OHxrRfm2zFeoNHY0KFDVYdABmK+9cJ864X51gvz7RiLW41Nnz5ddQhkIOZbL8y3XphvvTDfjrG41RhbieiF+dYL860X5lsvzLdjLG6JiIiIyDJY3BIRERGRZbC41djEiRNVh0AGYr71wnzrhfnWC/PtGItbjaWkpKgOgQzEfOuF+dYL860X5tsxjt/l+F0iIiIiU8tKvcYzt0RERERkGSxuiYiIiMgyWNxqLCkpSXUIZCDmWy/Mt16Yb70w346xuNVYSEiI6hDIQMy3XphvvTDfemG+HWNxq7HRo0erDoEMxHzrhfnWC/OtF+bbMRa3GmN3CL0w33phvvXCfOuF+XaMxS0RERERWYZlitu1a9ciNDQUlSpVgq+vLx555BH06tULiYmJqkMjIiIiIoNYprh988038fvvv6Ndu3aYNm0aOnfujMWLF6NmzZo4ceKE6vBMac6cOapDIAMx33phvvXCfOuF+XbMMsXtlClTsG/fPrz33nsICQnB+PHj8eOPPyIxMRHTp09XHZ4pxcTEqA6BDMR864X51gvzrRfm2zHLj98tXLgwGjdujG+//Tbdr3P8LhEREZG5cfzu/7t48SIuXLiAwoULqw6FiIiIiAxg6eJ2ypQpuHr1Kjp16qQ6FCIiIiIygKfqANJjt9tx5cqVTH2vl5dXuo9HRUVh7Nix6NixIxo1auTM8IiIiIjIpEx55jYqKgre3t73vfn4+GDPnj33/HxcXBzatWuHgIAAzJ49O1Ov2bJlSwQHB99xq1+/PpYtW3bH961evRrBwcH3/Hy/fv3u2b0YExOD4ODge2ZAv/POO5g4ceIdjx05cgTBwcGIi4u74/Fp06YhLCzsjsdSUlIQHByM6OjoOx6PiIhAjx497omtY8eO6b6PYsWKWeJ9WCUfrn4ftz+/O7+P2/F9ZPw+goODLfE+AGvkw9Xvo1ixYpZ4H1bJh6vfx+1xu/P7uN3t7yMiIuJmLVa2bFlUr14dgwcPvud5MmLKDWXHjx/HqlWrMvW9zz33HPLly3fzv48ePYrAwEB4eXkhOjoaRYsWdfjzOm8oW716NYKCglSHQQZhvvXCfOuF+daLjvnOSr1myuI2u06dOoXAwECcOXMGf/zxB8qVK3ffn9G5uCUiIiJyB1mp10y55jY7UlJS0KJFCyQkJGDdunWZKmyJiIiIyFosU9x26dIFmzdvRmhoKGJjYxEbG3vza35+fmjTpo3C6IiIiIjICKbcUJYd//zzD2w2G+bOnYvu3bvfccvKImSd3L2Ym6yN+dYL860X5lsvzLdjliluDx48iLS0tHRvBw4cUB2eKd29M5KsjfnWC/OtF+ZbL8y3Y5YpbinrihQpojoEMhDzrRfmWy/Mt16Yb8dY3BIRERGRZbC4JSIiIiLLYHFLRERERJZhmVZg2XXp0iUAwK5duxRHYrxNmzYhJiZGdRhkEOZbL8y3XphvveiY7xt12o26zRFLTSjLjq+++grdunVTHQYRERER3cfChQvRtWtXh9+jfXGblJSEVatWoUyZMvD29lYdDhERERHd5dKlSzh06BCaN2+OwoULO/xe7YtbIiIiIrIObigjIiIiIstgcUtERERElsHiloiIiIgsg8UtEREREVkGi1tKV8+ePeHh4YHg4GDVoZCTrV+/Hm3atEHp0qXh7e0Nf39/tGjRAn/++afq0MgF1q5di9DQUFSqVAm+vr545JFH0KtXLyQmJqoOjVwgMTERw4YNQ5MmTfDAAw/Aw8MDUVFRqsMiJ7hy5QrefPNNlCxZEj4+PqhXrx7WrFmjOixTYnFL99i6dSsWLFjA1mgWtWfPHuTKlQt9+/bFzJkzERYWhuPHj6Nhw4ZYvXq16vDIyd588038/vvvaNeuHaZNm4bOnTtj8eLFqFmzJk6cOKE6PHKy3bt3Y/LkyYiPj0dAQABsNpvqkMhJunfvjo8//hjdunXD1KlT4enpiZYtW/LERDrYCozuERgYiCpVqmDNmjWoVq0aVqxYoTokcrFLly6hXLlyqFGjBn7++WfV4ZATRUdH46mnnrrjsfXr16NRo0YYNWoUxo4dqygycoWLFy/i6tWryJ8/P5YsWYIOHTogMjISDRs2VB0a5cCmTZtQr149fPjhhxg8eDAAIDU1FVWrVkXRokURHR2tOEJz4ZlbusOCBQsQGxuLCRMmqA6FDOTt7Y0iRYrgzJkzqkMhJ7u7sAWABg0aoGDBglqOHbc6X19f5M+fX3UY5GTfffcdPD090atXr5uPeXl5ITQ0FH/99ReOHTumMDrzYXFLN124cAHDhw/HyJEj8dBDD6kOh1zs/PnzSE5Oxu7duzFixAjExsbi6aefVh0WGeDixYu4cOHCfaf8EJE5bNu2DRUrVoSfn98dj9epU+fm1+kWT9UBkHmMGTMG3t7eeO2111SHQgbo0KEDVq1aBQDIkycP+vTpg1GjRimOiowwZcoUXL16FZ06dVIdChFlQkJCAvz9/e953N/fH3a7HfHx8QqiMi8WtxZkt9tx5cqVTH2vl5cXANlkNHXqVHzzzTfInTu3K8MjJ8pOrm+YOHEihgwZgqNHj2L+/Pm4cuUKrl69ijx58rgiVHKCnORPaE+WAAAHp0lEQVT7hqioKIwdOxYdO3ZEo0aNnBkeOZkz8k3WcOnSpXRznDdv3ptfp1u4LMGCoqKi4O3tfd+bj48P9uzZAwB47bXXEBgYiLZt2yqOnrIiO7m+ISAgAE2bNsXLL7+M1atXY+PGjejRo4eid0KZkZN8A0BcXBzatWuHgIAAzJ49W8E7oKzIab7JOry9vZGamnrP45cvX775dbqFZ24tqHLlyggPD8/U9/r7+2Pt2rX45ZdfsHTpUhw+fBiAnDG4du0aLl26hMOHD6NgwYLIly+fC6Om7MhqrjOSO3duBAcHY+LEiUhNTeVZIJPKSb6PHj2KoKAgFChQAD/99BN8fX1dECE5k7OOb3J//v7+6S49SEhIAAAUL17c6JBMjcWtBRUtWhTdu3fP9PcfPXoUNpsNzz333B2P22w2HDt2DOXKlcOUKVMwcOBAZ4dKOZTVXDuSkpICu92O8+fPs7g1qezm+9SpUwgKCsLVq1exbt06FC1a1AXRkbM58/gm91a9enWsW7cOFy5cuGNT2YYNG2Cz2VC9enWF0ZkPi1tC06ZNsXTp0nse79WrF8qUKYNRo0ahatWqCiIjVzh58iSKFClyx2NnzpzBkiVLULp0ae6gt5iUlBS0aNECCQkJWLduHcqVK6c6JCLKohdeeAEffPABZs2ahddffx2ATCwLDw9HvXr1UKJECcURmguLW0LJkiVRsmTJex4fNGgQihYtitatWyuIilylRYsWKFmyJOrWrYuHHnoIhw8fRnh4OBISErB48WLV4ZGTdenSBZs3b0ZoaChiY2MRGxt782t+fn5o06aNwujIFcaPHw+bzYbY2FjY7XYsWLAA69evBwCMHDlScXSUHXXq1EH79u0xfPhwHD9+HOXLl0d4eDgOHz6MefPmqQ7PdDihjDJUrlw5VKtWDcuXL1cdCjnRp59+ikWLFiEuLg5nzpxBgQIFUL9+fYSFheHJJ59UHR45WdmyZXHkyJF0v/bwww/jwIEDBkdErubh4ZHu2F2bzYZr164piIic4cqVK3jrrbewcOFCnD59GgEBARg/fjz7k6eDxS0RERERWQZbgRERERGRZbC4JSIiIiLLYHFLRERERJbB4paIiIiILIPFLRERERFZBotbIiIiIrIMFrdEREREZBksbomIiIjIMljcEhEREZFlsLglIiIiIstgcUtEZFLz58+Hh4fHzVvu3LlRsmRJ9OjRA/Hx8arDIyIyJU/VARARUcZsNhvGjRuHMmXK4PLly9iwYQPmzZuHP/74Azt37kSePHlUh0hEZCosbomITO6ZZ55BzZo1AQAhISEoVKgQJk2ahBUrVuCFF15QHB0RkblwWQIRkZtp0KAB7HY79u/ff8fj8fHxCAkJQbFixZA3b15UrVoVc+fOVRQlEZEaPHNLRORmDh48CAAoUKDAzcdOnDiBunXrIleuXBg4cCAKFy6MlStXomfPnrhw4QIGDhx4x3Ns2LABkZGRSE1NRa1atdC6dWtD3wMRkauwuCUiMrmzZ88iOTn55prbsWPHwtvbG61atbr5PSNGjIDdbse2bduQP39+AEDv3r3RpUsXjB49Gn369IGXlxcA4J133sGJEyfw6aefwm63o0mTJrhy5Qqef/55zJs3D927d0euXLmUvFciopzisgQiIhOz2+1o2rQpihQpglKlSqF9+/bw8/PDihUrULx48Zvf9/3336N169ZIS0tDcnLyzVtQUBDOnj2LmJgYAMDChQuxaNEiTJ06FYBsWOvUqRPeffddAMD+/ftZ2BKRW+OZWyIiE7PZbJg5cyYqVKiAs2fPYu7cuYiKirqjS8LJkydx5swZzJo1C59//nm6z3HixAlcv34dI0aMwJAhQ5A7d+6bXy9ZsiR27NiBvXv3omLFioa8LyIiV2FxS0Rkck888cTNbglt2rTBU089hS5dumD37t3w8fHB9evXAQDdunXDSy+9lO5zBAQEYOPGjTh27Bhatmx5x9f8/Pxw7do1zJgxA5MnT3btmyEicjEWt0REbsTDwwPvvfceGjdujOnTp2Po0KEoUqQI8uXLh7S0NDRp0iTDn/3tt9/g5eWF8uXLp/v1Zs2a3XFGl4jIHXHNLRGRm2nUqBHq1KmDjz/+GFeuXIGHhweef/55LFmyBLGxsfd8f1JSEgDA398fefPmvefrZ8+ehc1mc1gYExG5Cxa3REQmZrfb0308LCwMiYmJCA8PBwC8//778Pf3R926dTF48GDMnj0bEydORIcOHVC5cmUAQGBgIMqUKYMNGzYAAK5du4bw8HDs3bsXPj4+SEhIuPl8RETuymbP6JOTiIiUmj9/PkJCQrB58+aba25vsNvtqFSpEgBg9+7dsNlsSEpKwtixY7FixQokJiaiUKFCeOyxx9CpUyeEhIQAAJKTkzFlyhR4e3vD09MTzz33HCpWrIgVK1YgMjISHTt2RL169Qx/r0REzsLiloiIiIgsg8sSiIiIiMgyWNwSERERkWWwuCUiIiIiy2BxS0RERESWweKWiIiIiCyDxS0RERERWQaLWyIiIiKyDBa3RERERGQZLG6JiIiIyDJY3BIRERGRZbC4JSIiIiLLYHFLRERERJbB4paIiIiILOP/ALSgtsWhIu2FAAAAAElFTkSuQmCC",
      "text/plain": [
       "PyPlot.Figure(PyObject <matplotlib.figure.Figure object at 0x7f7ada564668>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "PyPlot.Figure(PyObject <matplotlib.figure.Figure object at 0x7f7ada739780>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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6d+6MtWvXFnjdVq1awcvLC/3794eDgwN2796NU6dOoWnTphg/fnyhcbdo0QIajQZhYWG4e/dudp/mMWPGwN7evmQvyjPXmTBhAubNm4f69eujb9++KFOmDHbt2oWYmBi0adMG48aNy3Ocm5sbHj9+jPr168PPzy97HuRbt25h5MiRaN26dfa+lpaWGDt2LGbOnAkvLy/06tULWq0We/fuRZUqVbIHXz3r2S4cWfPYfvnllzh9+jRee+01XLlyBTt27ED37t2xZs2aPOfw9vaGWq3GpEmTcObMmezW7E8++aTUX5PiCAgIgK2tLVq3bp1d+B84cAAnTpxA06ZN4ePjU+RzBQUFYcqUKZg6dSq0Wm2e5Z0B4NSpU+jVqxcaN26M+vXro3Llyrhz5w62bNkCrVaLiRMn5tq/ffv2uHr1Ki5fvmwyKy4+my8VKlTA+vXr0bt3bzRv3hwdOnRAvXr1sheGOXLkCJKSkpCSkiJTxEQmxDCzyRGRof35559ScHCwVLNmTcnOzk5Sq9WSSqWSqlSpIu3bt6/A45KTk6Xhw4dLrq6ukq2trdSgQQPpp59+ki5fviyp1WppyJAhufYfPHiwZGFhIV26dEn68ssvJU9PT8nOzk6qWrWq9OGHH0oPHjzIc40aNWpINWvWzLN99+7dUsuWLSV7e3tJrVbnma+3ICqVSrKwsCjCq/LU2rVrpTZt2kjlypWT7OzspPr160uzZ8+WHj9+nG+87u7u0v3796VRo0ZJVatWlWxtbaVXXnlFWrhwYYHXmDt3rlSrVi3JxsZGeumll6RJkyZJqamp+T7/guZBvn79ujRw4ECpatWqkkajkerXry/Nnz9f0mq1klqtltq3b5/nuqtWrZJee+01SaPRZM8DnSXr/crvdS3ua5LfeyhJ+c/F/P3330u9e/eWXn75ZalMmTKSk5OT1KhRI2n+/PnSw4cPC3wNC9KxY0dJrVZLNjY2ueZuznL9+nXpk08+kVq3bi25ublJtra2UrVq1aRu3bpJu3fvzvf5FPS6FGb//v0FvhdZCvv3k991nzen9fPmDb9y5Yo0evRoqU6dOpKdnZ3k4OAgeXp6SkFBQdLWrVuL/fyIzJFKkvIZdUJEivPo0SO0atUKsbGx+PXXX+Hn5yd3SCbD3d0dKpUKFy9elDsUIiIyAPZBJjITZcqUwfbt2+Hs7Iz+/ftjz549codERERklFggE5mRqlWr4rfffsPkyZNx+vTpAqchIyIiMmfsYkFEVAh3d3eo1WpcuHBB7lCIiMgAWCATEREREeXALhZERERERDlwHuQnEhMTsXv3btSoUQN2dnZyh0NEREREz0hNTcXly5fRqVMnODs76+06LJCf2L17NwYOHCh3GERERERUiJUrVyIwMFBv52eB/ESNGjUAiBfc09NT3mBI8fr27Yv169fLHQaZAeYaGQpzjQwhNjYWAwcOzK7b9IUF8hNZ3So8PT3RqFEjmaMhpbOysmKekUEw18hQmGtkSPruDstBekQyqFu3rtwhkJlgrpGhMNdISVggExERERHlwAKZiIiIiCgHFshEMujevbvcIZCZYK6RoTDXSElYIBPJYPv27XKHQGaCuUaGwlwjJWGBTCSDkJAQuUMgM8FcI0NhrpGScJo3IhlwKiQyFOYaGYop5NrVq1eRmJgodxhUAGdnZ1SvXl3uMACwQCYiIiIzcPXqVXh6eiIlJUXuUKgAGo0GsbGxRlEks0AmIiIixUtMTERKSgpXzDVSWSvkJSYmskAmMleLFy/G22+/LXcYZAaYa2QoppJrXDGXioKD9IhkcPLkSblDIDPBXCNDYa6RkrBAJpJBeHi43CGQmWCukaEw10hJjLJAfvToEaZOnYouXbrAyckJarUay5cvL/LxycnJGD58OCpWrIiyZcuiffv2+Ouvv/QYMREREREphVEWyImJiZgxYwbi4uLg5eUFlUpV5GMlSULXrl2xZs0ajBkzBvPmzcOdO3fwxhtv4MKFC3qMmoiIiIiUwCgH6VWuXBm3bt1CxYoVER0djaZNmxb52F9//RVHjhzBhg0b0KtXLwBAv379UKdOHUydOhUrV67UV9hEREREpABG2YJsZWWFihUrvtCxGzZsQKVKlbKLY0BMPO3v748tW7YgIyOjtMIkemF+fn5yh0BmgrlGhsJco9IgSRIeZ2bivlaLO+npuJ6WhvMpKYh59AgnHzzA6QcPDBKHUbYgl8Rff/2V7/QtzZo1w48//oh///0X9erVkyEyoqdGjRoldwhkJphrZCjMNdMUGBiImJgYnD59GhqNBq1bt4ZarYZWq0VCQgI0Gg3Gjh2LgIAAg8TTJDoaeF4R/O+/BolDcQXyzZs30a5duzzb3dzcAADx8fEskEl2vr6+codAZoK5RobCXDNNq1atQkxMDBo0aICRI0di7ty5uR5ft24dAgICkJSUhBEjRug9nk9fegl1PDxgo1bDRq2GrVoNG5Uq+/cLVlbw13sUCiyQU1NTYWNjk2e7ra0tJElCamrqc49fcjoJcZVuw+rJK5M1PDBroGD278/+NKHHs28q1Qv9nkXK+ilJebY9934p7K+vfQs8TqZ9cx2np31z7p9zW0HyGzKb30DafPfT47lKcr7SPJdSY9P38zREbJYqVaE3ixz31cUYIE5kyqKioqBSqdC2bds8j/n7+2PkyJEIDQ01SIHcy8UFjSpVKngHOzu9xwAosEC2s7PD48eP82xPS0uDSqWCXSEvbPiH/gh/dgnK//4D3nwTaN366bYTJ4DNm4HPP8+9b1gYULs20K3b023//gssWwZMmAA4ODzd/vPPgK0tMGDA020JCcDXXwPvvAPkXGpx40bg9m3g3XdzPilgxgwgIABo0ODp9j/+AP78E5g4MXds06YBHTrwefB58HnwefB5FPF5qG/fhs2IEbBUqWClUsE6PR33p05FxUGD4Ny4MWzVatip1bj7229IOnoUbWfNgt2TVq8yFhbYPnYsmvfsibbdu6OchQXKWVoiZv9+bPjxR6zZtAnlLC1hoxbDgUaOHIlGjRrlWo3u5MmTCAkJwZIlS+Ds7Jy9ferUqdBoNJiY43W7evUqRo0ahdDQUHh4eGRv/+abb3D16lXMmzcve1tKSgoCAgIwYcIEtM7xGq9evRp79uzBzz//nOsl7t+/PwYMGICePXtmb9uzZw8WLlyIrVu35trXmJ8H5S+rQG7VqlWex7IaF3U6nUFiOXLkCEJCQrB161asXr0aq1evBgCcOXMGDg4OcMj571mPVFLOpiYjlDWLxdKlSxEUFFTo/nXq1EGdOnWwffv2XNuXLFmCYcOG4fTp0/l2sTh58iQaN26Mb38+huQHjXDpErByFeBSEejVS0KLFoCPj9j32ZbAZ1vfjPnx7JskZd/PzHH/2cfy+z1nm8qzLdVA7tad/PYtyf6luW9hMRQn3sL2ffbx3Vu3opOfX6nFWpx9ixPrs/L7Y5Hfn5B899PjuUpyvtI8lzHGtnfbNnTs0aNE59P38yzqtpKeSydJ0Jbglp6ZibQnt9SCfup02b8/0unwQKdDslaL55UWtmo1nK2s8r255LjvZm0NN2trOFhaFmv6U0PZvHlzrgLa2GT9Px8dHc2lpp9RtWpVlC9fHmfOnMnz2NGjR9GyZUt069YN27Zt01sMRX1/DPU+Kq4F2cvLCwcPHsyz/ejRo9BoNKhTp85zj2/2qiUaNRIvy0fvAePGAWt+Ar6aAXz5JfDBB3oJm8zM3g0bMNTfEL2oyNx9unEjRvTvL3cYZk2SJKRlZuK+Tof7Wm2en0laLe5mZCDxyS0hPR0xjx5l/57xzAcDW7U6u1h2s7aGm41Nvr87W1kZtJvI6tWrZSmQH2dmIikjA3czMrJfy+yfGRm4q9UiKSMDl+PiDB6bKbhw4QLi4+MLnIUkLCwM9vb2CA0NNXBk8jLpAvnWrVtITk5GrVq1YGFhAQDo27cvNmzYgI0bN6J3794AxMIj69evh5+fH6ysrIp8/tq1gS1bxP0JE0SxnJYGtGoF5NNNh6jI1q5dK3cIZCaYa/JTqVSws7CAnYUFXK2ti3WsJEl4oNPhdno6bua8PX6cff/cvXu4+fgx7mq1uY61VKlQ0coKrtbW4mZlhYo57mdtr2hlBScrK1ipSzbza0lyLU2nQ/KT1vbs25Pf/3tS4BZUAD/KzMz3nI6WlnCytESFJ8+vYjFfe3NRUPeKhw8fYsaMGTh16hQiIiLg+Wz3U4Uz2gI5PDwc9+7dw40bNwAAW7duxbVr1wAAY8aMgb29PSZNmoTly5fj8uXLqP6k31jfvn0RFhaG4OBgxMTEwNnZGYsWLYJOp0NISMgLxzN7NpCcDHz6KZCZCYSGAuPHl/hpEhERFUilUqGcpSXKWVqilkbz3H3TMzNx65kC+lZ6OhLS05GQkYF/U1NxMDkZCRkZeJhPf1KNWg0HS0txs7DIvq9Rq2H9ZAaBnLMJWD9pnc7E0+56mRBFvQ5Aqk6H1CfdTVKfdD/Jup+i0+H+kwL4nlaL9Of09ixrYQEnS0s4WVmhwpNuJ3U1GvF71vYnP7Pul7eygsUzrecntVr8VszXHwBSUgA5Gp89PIBC3vJSERUVBQDYuXMnDh06BADQarXQ6XTw9fXFrFmzshshzYnRFsjz58/H1atXAYg/EJs2bcKmTZsAAIMGDYK9vT1UKhXUz3ziVavV2LVrF8aPH49vvvkGqampaNasGZYvX47atWu/cDwWFsD33wPh4cDHH4tCuWdP0cpMREQkN2u1GtVtbVHd1rbQfVN0OlE4PymekzIycrXa3nvSipuUkYEbmZl4nJmJ9CcLOOS8nzXDkRqA+slMR1n37Z4MYLSzsMi+b/+kFd1OrUa5J4W4Y1ZRnk9xXs7CApYlbNkuqbg4oHFjw183OhowRFfpqKgouLi4YNWqVc+JJRrLly9HkyZNcOjQIYwfPx4vv/yy/oOTkdEWyJcuXSp0n59//jnfEaoODg744Ycf8MMPP5R6XJaWQEgIsGED0KMH0L8/MHo0kGNQLhERkVHTWFjA3c4O7gaaMsuUeXiIYlWO6+pbfHw8Ll26BP/njIlJT09Hnz59cOzYMbi6uqJevXoYMGAAjh8/rv8AZWS0BbIx02hEgTxmDDBnDrBtm5ilSOYPuWRCgoODOf0QGQRzjQxFqbmm0RimJVcOkZGRAJDvAmtZoqKiYG9vD1dXVwBAo0aNEBsbi8uXL6NGjRqGCFMWLOlekJcXEBUFREQAf/0F/Pqr3BGRKeGKU2QozDUyFOaa6ckaoOft7V3gPpcvX4aTk1OubeXLl0dMTIy+w5MVC+QSatkS6NwZmDoVOHlSDOAjKsyAnIsUEOkRc40Mhblmevbt2wcnJ6dcC7I8686dO9A8M1rQ1tYWDx480Hd4smKBXApmzwZu3hSd+L29AQMtNkNERERULAkJCfD19UX9+vVx/vx53L9/H97e3pg/f36++zs6OuZZpOfhw4e5VkRUIvZBLgVeXsC5c8D27cCwYaK7RUCA3FERERER5ebq6oo9e/YUeX8PD49ckx7odDokJSXhpZde0kd4RoMtyKWkUiVg6FCxHPWCBXJHQ8Yuv9UeifSBuUaGwlxTprZt2+LOnTvZa1Hs378f9erVK9HUuaaABXIpGzkSOHpUTAV37pzc0ZCxMrclO0k+zDUyFOaaMllYWGDFihWYNWsWli9fjlWrVpnFCp3sYlHK/PyAXr2AadOAzz8H/v4bqFdP7qjI2KxZs0buEMhMMNfIUJhryuXt7Z0900VQUJDM0RgGW5BLmVot5ki+fh2oXBmYOVPuiMgYPTsimEhfmGtkKMw1UhIWyHqgUgFVqgCjRgGbNwPJyXJHRERERERFxS4WejRgADB5spgGbuxYwM1N7ohISTIygNu3gYQEIDERePxYbNPpADs7wN4eKFdO5F3FilzpkYiIqKhYIOtR1arAe+8Bc+cCoaFiGriuXeWOiozB+PHjMW/evCLvf/s2cPAgcOwYcPasuF26BDwzNWWBrK1FPtZaRUneAAAgAElEQVStCzRsCLz6qvjp4cHCWemKm2tEL4q5RkrCAlnPwsKAfv1EC/KECSyQSahevfpzH9fpREG8aRPw229PZ0SpVg1o0ADo3VsUu25ugKsr4OIC2NoClpaAhQWQkgI8eADcvw/ExwPXrgFXr4rCeuVK0UceACpUANq0Adq1E4vcNGwougiRchSWa0SlhblGSsICWc8sLIC2bYHp08UMFzExnNWCgNGjR+e7/a+/gB9/FIvNJCaKgZ7du4ulzNu0Ea3AReHo+PzHk5LEtQ4cAKKigI8/BtLSRN/57t3FrUMH0VWDTFtBuUZU2phrpCQskA3E1xcoXx5Ytkx0tyDK8vgxsGIF8O23wMmToigeMkS0Ejdtqp8uEBUqiAK4Q4enMRw6BGzbJm7ffw+ULQv07Cn60nfsCFhZlX4cRERExoi9Dw3ExgYIDga++AJo0kS03JF5S04W/dNr1ACGDxeF8datwJUrYvvrrxuuf7CNDdC+PfDVV8D//Z/oijF+PPDnn0C3bmKlyFGjRKszERGR0rFANqBPPhEtgxcvAv37A1qt3BGRHNLSgIkT4+DuDkyZIrozxMaKltsePUQ/YjmpVICnp4jt7Fng1CmxjPrGjUCjRsBrrwELF4puGmT84uLi5A6BzARzjZSEBbIBVagg+pf+9htw8yYQGSl3RGRImZmiK0XdukBo6AT4+4sPSz/+KLYZI5VKzHgxd64Y5Ld1q2jx/uAD0R962DDg9Gm5o6TnmTBhgtwhkJlgrpGSsECWQdOmgLs7wFU5zcfffwMtWgBBQUDjxsC+fQvx3XdiUJypsLQULdybNolZMT7+GNi5U8x80a4dsH49vxUxRgsXLpQ7BDITzDVSEhbIMlCpgIAAMVPBnj1iOi5SpocPgY8+Ev3OHz0SM0Zs3Ah4e5v2dEiVKgGffgpcvgysWyfmY+7XT3zwmzULuHNH7ggpC6feIkNhrpGSsECWyZAhYq7bTp1Ev86MDLkjotK2dy/wyitidoqZM8UMFW3ayB1V6bKyEoVxVJQYwNepEzBjhpivefBgIDpa7giJiIiKj9O8yaRWLfG1+7Ztoj/nvn2iuCDTl5ICTJoEfPONmEYtMlK0rCqdlxfw00+iv/LixcCiRWJaw5YtxUI5vXvLPwCRDE+SxMDU5OTct/v3gfR00S0n66bTiRyxthYzq2T9dHQUYzicnMR0mcwjItI3/pmR0csvi8Jh0SLxNTULZNP355/AwIFiqravvwZGjsx/qra5c+di4sSJhg/QAJycxKqRH30kPgB+/bWYtaVaNTFV3NChotghw9B3rt2/D1y4AJw/L/qmx8fnvT16VLRzWViIIrkwDg6i/3716k9vtWqJb2zq1BFFNRmekv+uKVlgYCBiYmJw+vRpaDQatG7dGmq1GlqtFgkJCdBoNBg7diwCAgLkDtWgWCDLTKUSX1F/+624WVvLHRG9CEkCFiwQcwc3bCi6U3h6Frx/SkqK4YKTiYWFWGikZ08xVdyCBcBnnwEhIcBbbwFjxjz/NaLSURq5JkliefIzZ8Tt7FlREJ8/D9y+/XS/MmVE4Vq5svjZtKm47+Iiitqct3LlxPLoFhaiRVitFn8PJUm0LKeniwVs0tKAe/fEtIJZt8REEc+1a+JD6YYNwN27Iga1WhTL9euLucRff12MAShTpsQvAxXCHP6uKdGqVasQExODBg0aYOTIkZg7d26ux9etW4eAgAAkJSVhxIgRMkVpeCpJkiS5gzAGJ0+eROPGjREdHY1GjRoZ9Nr//AM0aCBa2AIDRR9OfoVoOpKTRZ/yjRuBDz8EZs/mB52CJCSIVfoWLRL3O3UCRowQi5FYWMgdHQGiKD19WvQfP336aVGcnCwet7cH6tUDatcWhWjW7eWXxbcHcklKEvOJnz0rbn//DZw4IVqv1WoxXaG3t8i5Nm0AjUa+WEkecv4/b+y+/fZbjBo1Clu3bkW3bt3yPO7i4oIyZcrg8uXLeouhqO+Pod5HlmFGoH590bL2ww/AnDlAs2ZAr15yR0VF8fffQN++okVr40a+b4VxdRULkEycKLoVLVgA/O9/4sPh8OGi+0WlSnJHaT4yM4Fz54Djx0Uxefy4aO1PTxcfWOrWFYVlly7iQ3yDBsBLL4mWXmNToQLQqpW4ZdHpgJgY4NgxsZT6unVitUgbGzE1Yd++4t+ss7N8cRMZg6ioKKhUKrTK+Q/oCUmSkJqaCl1R+j8pCGexMBLTpwO3bom5cn/6Se5oqCh++QVo3lx8VRwdzeK4OGxsgEGDxNfjJ04AHTuK6eGqVQP8/YGICPFVO5Wue/eAXbvEqp7t24vBb6+8ImYc+f13URDPnw8cOSKmKIyJAVavFnNe9+ghFokxxuK4IBYWosAfNgxYulR0yYiJEQ0RWi3w7rviA1mnTmJAKXsIkLk6cOAAPD094ejomOexY8eOISUlJd/iWclYIBuZfv2AP/4o+qAWMjxJEtO2BQaKwWeHD4uvl4sjMTFRP8GZoCZNxKwXN26I4uzMGVG8eXqKovnKFbkjNE2SJF67775LxIgRolCsUAHo2lWs3ujgAEyeLArj//4D4uLESo+jR4sPfra2cj+D0qdSiQ8E778v/s7evCmWTU9PFx8SKlcWz//sWbkjNU38u2aaLly4gPj4eLQpYB7SsLAw2NvbIzQ01MCRyYtdLIxM9+6iH+vataI1mYOYjEt6OvDOO6I1avp0sVjGi7SoDRkyBFu3bi31+ExZ+fJiVpcxY8TUeD/9BHz+uWjtbNdOrELYt69osae8tFrx4eLQIeDgQXG7cQMAhsDDYytatRJTSrZuLfoMm1JLsL5UrChakd999+my70uWiKLZz098gGjeXO4oTYdS/66lZKQgLjHO4Nf1cPaAxkr/neUL6l7x8OFDzJgxA6dOnUJERAQ8zawgYYFsZGrXFi08b78tft+5U/T/I/nduwf06SMKj5UrRQvyiwoJCSm1uJRGpQLeeEPcHjwQS1uvWCH6J48cKfosDxggumWY80Cr//4Djh4V32AcPiz62T56JAaINmkCvPmmKIbLlAlBhw5yR2v8atYUA2ynTRPdp+bOFY0U7duL+02ayB2h8VPq37W4xDg0/qGxwa8bPTwajdz0P5gwKioKALBz504cOnQIAKDVaqHT6eDr64tZs2bBwgxHUbNANkLffSfmj12+XHzFzAJZfleuiA8uN2+K5cHbtSvZ+TiCumjs7UXLcVCQmNbrl19Esdyzp+gC4OMjWvq6dwfc3OSOVn8kCfi//3taDB869LQbgIuLWIxlyhTxs0mTZ7tHMNeKw9padLcICgI2bxava9Om4gPHrFlikCLlT6l/1zycPRA93PDLgno4exjkOlFRUXBxccGqVaueu9/Dhw8xePBghIWFoWrVqgaJTU4skI1QtWpi6iuNRkwfdueO+E+Q5PHnn6IAK1NGDF6qW1fuiMxT1apiAZIJE8TMC9u2idu774rZGJo2FQPJfH3F8u1WVnJH/OL++08M/DxxQuTc4cNinl+VSsx606aNmAmkZUvR/53dJUqfWi1Wf/TzE12qPvsM8PAQLcwffsipOM2JxkpjkJZcOcTHx+PSpUvw9/d/7n6LFy/GtWvXsGnTJnz55ZcGik5e/CduxDp3Fi1H27aJQpkMb8sW8XV+w4bA1q38oGIs6tYVt3HjROG4a5f4dzJvnmjx02hE39HWrcWtRQugbFm5o85LpxPfTpw9K2ZXiI4Wt4sXxeNly4rnMXKkmL7s9dfF4DoyHEtL0b0nIEAscjN5spgubvFi8XeByJRFRkYCANoV8rXo20/6fU6fPl3vMRkLzmJhxLKmH3r7beC110QrEhnOggVi6rauXYF9+0q3OF68eHHpnczMOTmJ5b3XrhXF8tGjYgClvT0QHi5alB0dRTHz5ptiBpJNm0QrtFZrmBgfPRJF8IYN4vpvvin+TZctK1qAe/QQAxITEkQf65UrxaIXycnA3r2i1dLX98WKY+Za6Shb9ukUeI8fi64sX37J6QhzYq6ZnqwBet7e3nKHYnTYgmzkQkLESPS//xazJ5w+za9T9U2nE6P9v/lGLB09Z474urU0nTx5MvsTOZUeK6unywt/9JEoXuLigAMHxPLfMTHAb7+JLgyA6G9aq5bov+zmJj6UZt0qVgTs7MSczTlvajWQkfH09uCBGMCZdbtzR/SXzrrduPH0eoCYau2VV0SXkLfeEvc9PUUXEn3822aula5mzUQr/yefiBzbv190wahQQe7I5MdcMz379u2Dk5MTPDwM09/ZlLBANnLNm4upm3buFMvxxsaK/1BJPx49El0qdu4UgyXfeUc/1wkPD9fPiSkXlUoUnzlnJ5Ik0VKbtSTxv/+KRXquXBEzQdy6JYreF2FlJVq0q1YVt3btnt6vVk3E4eJi2A+5zLXSZ20tuvO0ayc+5DRrBmzfLvoomzPmmmlISEjAoEGDEB8fj/Pnz8PKygre3t7o1q0bxo0bJ3d4RoMFsolo3170q9y8mQWyvty8Kb7qzhoAxtlDlEmletpK3L59/vs8eiRaglNTxdzXjx8/vWVmikI462ZvL7pwODqKFmd+w2M+und/Ooi3RQvRhaagnCIyFq6urtizZ4/cYRg9FsgmwtZW9IedMweIjxeD9hQ6o44s/vlHtNDrdGKeYw6+MW9lyogbUWHc3cX4kH79xJiRX34R94nItHGQngkZO1YMKgoPFwPH0tLkjkgZ9u4VMwSULy8GeLE4JqLicHAAduwA/P3FbBcrVsgdEVHp+uWXXzBixAioVCpMmjQJixYtkjskvWOBbEKaNhV9J0+dEj937pQ7ItO3eLH4sNGypRjIZai5z/38/AxzITJ7zDXDsLISizsNHiz6JS9ZIndEhsdcU64333wTixYtgk6nyy6WlY4FsomxtwdefVVMEbV6tdzRmK7MTDEKfehQcdu2Tby2hjJq1CjDXYzMGnPNcCwsgB9/BIYPB4YNE9MJmhPmGikJC2QTNWAAsH69WEBg9265ozEtaWlAYKBYNnbePGDRIsOviuXr62vYC5LZYq4ZllotusH17Sv+Tu/fL3dEhsNcIyVhgWyi3nxT9JldtEisuPd//yd3RKbh7l2gY0cxG8ivv4qV2DjrABGVJgsL0d2iTRux8MvZs3JHRETFxQLZRFWpIuZtvX4dKFdOrLxFz3f+vJiK6dw5ICJCtPAQEemDjQ2wcSNQvTrQs6dYRIaITAcLZBNmby8K5b59RYHMJU8LduiQWHRFrRYzVTRvLm88mzdvljcAMhvMNfnY24tvqxITRXcLnU7uiPSLuUZKwgJZAQYOBC5eFNOTDR0qFjegp9auBTp0AOrVE/OV1qwpd0TAao6wJANhrsnr5ZeBdeuAPXuAqVPljka/mGukJCyQFaBdO6B/f9GFYPFizsGZRZLEwioBAWLi/j17gAoV5I5KWLt2rdwhkJlgrsnPxweYOVMMDFbyoD3mGikJC2QFUKuBNWvE8rhdu5rn/JvPSk8XremTJwNTpogBMzY2ckdFROZqwgSgbVtg0CAgKUnuaIioMCyQFUSlEktQHzsmFhE5cULuiORx546YqWLlSmDZMmDaNM5UQUTysrAQ3+49eiTmSeaYESLjxgJZYXr0EAP3unUDmjUzv8VETp4EmjQBYmOBffuAoCC5IyIiEqpVA374AdiwQUwzSUTGiwWywlhbi4FoCxYAjRsDYWFyR2Q4q1YBrVoBLi7An3+K+8YqODhY7hDITDDXjEvfvkDv3sDo0crrasFcIyVhgaxA1asDY8aIvrfHj4tpzRIS5I5Kf7Ra4MMPxWwe/v7AgQPiNTBmXHGKDIW5Zny++QZ4/BgYP17uSEoXc42UhAWygnXrBtSoIRbHqFQJ+PZbuSMqfbdvA506AV9/LVrNly4F7OzkjqpwAwYMkDsEMhPMNeNTuTIQGioGVEdEyB1N6WGukZKwQFYwCwvgt9+AYcOAli1Fi3JKitxRlZ69e4FXXwXOnAH++EO0mnMwHhGZgqFDRTewMWPEt2BEcgkMDISXlxfUajXKli2Lzp07o2vXrvD19UXDhg3RokULrFmzRu4wDc5S7gBIv+rWFYNCLl0SE9Z/9x1Qvz7Qpo1ptLTmR6sFQkLEnKIdO4qZKipVkjsqIqKiU6vFGJGmTYGffgLefVfuiMhcrVq1CjExMWjQoAFGjhyJuXPn5np83bp1CAgIQFJSEkaMGCFTlIbHFmQz4e4O9OkDfPSR6JLQr5/cEb2Yf/4RreFz5ogCedcu0yyODx48KHcIZCaYa8arSRPgrbeAzz4D7t2TO5qSY66ZrqioKKhUKrRt2zbPY/7+/nByckJoaKgMkcmHBbIZWbECCA8HZs8GduwwrRWddDpg/nwxM8fDh8DBg8CkSaIVxhSZ2x8akg9zzbjNmiW6vn3+udyRlBxzzXRlFcit8pn+SZIkpKam4v79+zJEJh8TLS/oRdjaAiNGABMnAg0aiKmGmjYFvvxS7sie79AhMdBwwgQxNdLJk0Dz5nJHVTLm2J+L5MFcM26VK4sP+wsWAFeuyB1NyTDXTNeBAwfg6ekJR0fHPI8dO3YMKSkp+RbPSsYC2QypVKLPm6MjcPcuMG6cWH3P2Ny/D7z9NtC6NZCZCURFiVZkW1u5Iys5jUYjdwhkJphrxu+DD8TfY1NvRWaumaYLFy4gPj4ebdq0yffxsLAw2Nvbm903BBykZ6aaNQMuXhRdF7y8gAEDRGvy66+LOYXllJz8dNq2x4/FIMO33zbd7hRERM9Ttqz4Zm/SJHGrWVPuiCiXlBQgLs7w1/XwAAzwoaOg7hUPHz7EjBkzcOrUKURERMDT01PvsRgTFshmzsJCzI/8v/8Be/YA69aJpar79zd8LKmpwPr14j+KpCQxDdLEiWJ5ViIiJXvvPfEN2cyZYn5kMiJxcWIAjKFFRwONGun9MlFRUQCAnTt34tChQwAArVYLnU4HX19fzJo1CxYWFnqPw9iwQCa0bg3Ex4tlqvv2BYKDRWFaqRKwZQvg6qrf6z98KAaqLFokWo979BCDCZVcGI8fPx7z5s2TOwwyA8w106DRAJMni2/wJk8GateWO6LiU2yueXiIYlWO6xpAVFQUXFxcsGrVqgL3OXr0KA4dOoQHDx7g8OHD+PTTT/Od8UJJWCATAMDGRvz89ltg7Fgx1/C+fWIgX9++oivGmDGiiC4NmZmitXrtWnGd9HQxAG/oUKBOndK5hjGrbuxrYZNiMNdMx/DhwNy5YqYhU2xFVmyuaTQGacmVQ3x8PC5dugR/f/8C90lNTcWWLVswe/ZsAMD69evRpUsXnD9/Hm5uboYK1eDYq5NyqVgRWL0a+PVXUcD+9ZcYxDd+vCiUN24UXwO+yJydjx6JifH9/cUCJgMGAHfuiPPHxoqlV82hOAaA0aNHyx0CmQnmmumwtRUD9lauFN/qmRrmmumJjIwEALRr167Afc6fP4/Q0FBcvHgRANCpUyekpqZmd8dQKrYgU4E6dACuXhWtvceOidbkbdvEY99/Lx4/fhwYPFhMw7Z7t5h+rXp1YM0a8cfe2hpYuhS4cUN0pdBqRZeODh3EdjObNYaI6LmGDwdmzBCDlJ9Z0Iyo1GUN0PP29i5wnwYNGuDQoUOo+WT06LVr16BSqVDbFPsBFQMLZHouZ2fxs0cP4PJl0UfY2hoIDBSLjdSrJ7pkAIClpSiAAaBcOfHzwQMxALB/f9GNo08f4KWXDP40iIhMQrlyYtnp774DPvnk6d9SIn3Yt28fnJyc4FFIf+fmORYfmDNnDj766CM0bNhQ3+HJigUyFVmVKuIG5J43+cwZICEBaNcOOHJEzK3cubNoQU5Pf9q/mZ6Ki4sr9A8SUWlgrpmesWOBr74SU1yOGyd3NEXHXDMNCQkJGDRoEOLj43H+/HlYWVnB29sb3bp1w7hCEm7JkiWoXLky5syZY6Bo5cM+yFRiDRoAPj6AlRXQti3QqxdgZycWJGFxnL8JEybIHQKZCeaa6alcGRg4UIzZyMiQO5qiY66ZBldXV+zZswf//PMPdDod0tLSEBERUWhxvGPHDqhUKsyZMwePHz/GFVNf+rEQLJCJZLBw4UK5QyAzwVwzTe+/L8ZubNkidyRFx1xTrsjISCQkJKBr1664desWdu3ahVu3bskdll6xiwWRDBQ7HRIZHeaaaXr1VTGgedEiMYOQKWCuKdOlS5fQo0cPPHr0CAAgSRJUKhWSk5Nljky/2IJMRERkhEaMACIigLNn5Y6EzJm7uzvu378PnU4HnU6HzMxM6HQ6lC1bVu7Q9IoFMhERkRHq00fMTf/tt3JHQmR+WCATyWAuJzglA2GumS5ra2DYMGDZMjFlprFjrpGSsEAmkkFKSorcIZCZYK6ZtnfeEauQ/vKL3JEUjrlGSsICmUgG06ZNkzsEMhPMNdNWrRrQpQuwZInckRSOuUZKwgKZiIjIiA0ZAhw/DsTEyB0JkflggUxERGTEuncHnJ2Bn3+WOxIi82GUBXJ6ejomTpyIqlWrQqPRoHnz5vj999+LdOzvv/+O9u3bw8XFBeXLl8frr7+OlStX6jliouJJTEyUOwQyE8w102dtDQQGAitWGPfKesw1UhKjLJCDgoIQFhaGgQMH4uuvv4alpSW6du2Kw4cPP/e4rVu3olOnTsjIyMC0adMwa9YsaDQaBAUFYcGCBQaKnqhwQ4YMkTsEMhPMNWUIDgZu3wZ27ZI7koIx10hJjG4lvePHj2PdunX44osv8MEHHwAABg0ahPr162PChAk4ePBggceGh4ejcuXKiIiIgKWleGrDhw+Hh4cHli5dirFjxxrkORAVJiQkRO4QyEww15ShYUOgUSMxWM/PT+5o8sdcIyUxuhbk9evXw9LSEsOGDcveZmNjg7fffhtHjhzBjRs3Cjz2/v37KF++fHZxDAAWFhZwdnaGnZ2dXuMmKo5GjRrJHQKZCeaacgweDOzYAdy9K3ck+WOukZIYXYH8999/o06dOnmWMGzWrFn24wV54403EBMTgylTpuDChQu4ePEiZsyYgejoaEyYMEGvcRMREemTvz8gScD69XJHQqR8RtfF4ubNm3Bzc8uz3c3NDZIkIT4+vsBjp0yZgkuXLuHzzz/HzJkzAQBlypTBhg0b0KNHD73FTEREpG+urkCHDsDq1WIBESLSH6NrQU5NTYWNjU2e7ba2ttmPF8Ta2hp16tRBv379sGbNGqxatQpNmjRBYGAgjh8/rreYiYpr8eLFcodAZoK5pixvvglERQHXr8sdSV7MNVISoyuQ7ezs8Pjx4zzb09LSsh8vyMiRI7F9+3asWbMG/v7+GDBgAPbu3Qs3NzcO0COjcvLkSblDIDPBXFOWXr3EtG9r18odSV7MNVISoyuQ3dzccPPmzTzbs7ZVrlw53+MyMjKwZMkSdOvWLdd2S0tLdOnSBX/++ScyijCBZNeuXeHn55fr1qJFC2zevDnXfnv27IFfPkOJR44cmedT9MmTJ+Hn55dnjsipU6di7ty5ubZdvXoVfn5+iIuLy7X9m2++wfjx43NtS0lJgZ+fX56ZPVavXo3g4OA8sfXv35/Pw0ieR3h4uCKeB6CM90PJzyM8PFwRzwNQxvtR0udRrpxYOGT+fON7HuHh4UV+HlkM/X5QXoGBgfDy8oJarUbZsmXRuXNndO3aFb6+vmjYsCFatGiBNWvWGCyeI0eOZOfV6tWrs2sxd3d3eHl5Zc9wpneSkRk/frxkZWUlPXjwINf2zz//XFKr1dL169fzPe7mzZuSSqWSJk+enOexESNGSGq1WkpLSyvwutHR0RIAKTo6umRPgIiISI/Wr5ckQJLi4uSOxLTw//mC/fPPP5JKpZImTJiQ57G1a9dKKpVKCg8P12sMRX1/DPU+Gl0Lct++faHVavHDDz9kb0tPT8fSpUvRvHlzVKlSBQBw7do1nDt3LnufihUrwtHREZs2bYJWq83e/vDhQ2zbtg2enp759m0mIiIyJd26Afb2xtnNgkxTVFQUVCoV2rZtm+cxf39/ODk5ITQ0VIbI5GN0s1g0a9YM/fr1w+TJk5GQkIBatWph6dKluHLlCn7OsRD9oEGDEBUVhczMTACAWq3GuHHj8Nlnn+H1119HUFAQtFotFi9ejBs3bpjdG0tERMpkayu6WWzcCEyZInc0pARZBXKrVq3yPCZJElJTU6HT6WSITD5G14IMACtWrMD777+PlStXYuzYsdDpdNixY0euN06lUkGtzh3+xx9/jFWrVsHa2hrTp0/H1KlT4ejoiA0bNiAgIMDQT4OoQPn1PyTSB+aaMvXuDZw6BVy4IHckTzHXTNeBAwfg6ekJR0fHPI8dO3YMKSkp+RbPSmZ0LciAmK5t7ty5eTru5xQREZHv9oCAABbDZPRGjRoldwhkJphrytSli2hJ3rgReGbcmmyYa6bpwoULiI+PL/ADTlhYGOzt7c3um3ijLJCJlM7X11fuEMhMMNeUqUwZoHNn4yqQlZprKTod4lJSDH5dD40GGgsLvV+noO4VDx8+xIwZM3Dq1ClERETA09NT77EYExbIREREJqh3byAoCLhxA3gyfp30IC4lBY2jow1+3ejGjdHI3l7v14mKigIA7Ny5E4cOHQIAaLVa6HQ6+Pr6YtasWbAwQKFubFggExERmaAePQBLS2DTJoC9G/THQ6NBdOPGslzXEKKiouDi4oJVq1YVuE9mZibOnDmDhg0bFvm8L3KMMWGBTCSDzZs3o2fPnnKHQWaAuaZcjo5Ahw6im4UxFMhKzTWNhYVBWnLlEB8fj0uXLsHf3/+5+8XGxuLUqVPFKnZf5BhjYpSzWBAp3erVq+UOgcwEc03ZevcGIiOBO3fkjoS5ZooiIyMBAO3atStwn6SkJHz88cfFOu+LHGNs2IJMJIO1nOGfDIS5pmw9ewLvvgts2QIMHSpvLMw105M1QM/b2+yuMlcAACAASURBVLvAfXbu3IkbN25gx44duHXrFnx9feHl5QUAOHToECIjI1G9enVcvHgR7du3R+vWrZ97jKlggUxERGSiKlYEWrUCtm2Tv0Am07Nv3z44OTnBw8OjwH0GDhyIP/74A97e3ggKCsrefuHCBYwbNw5HjhzJ3taoUSOsX7++wGNMCbtYEBERmbAePYDffwdSU+WOhExBQkICfH19Ub9+fZw/fx7379+Ht7c35s+fX6zzLF++HPXq1cu1rW7dulixYkVphisbFshEREQmrHt3ICUFKGD9LKJcXF1dsWfPHvzzzz/Q6XRIS0tDREQExo0bV6Tjs1qMHzx4gNRnPpVlZGQgPT29wGNMCQtkIhkEBwfLHQKZCeaa8nl6Au7uwPbt8sbBXFOucuXK4d69ewCAc+fOAQAGDRqEmJiY7H0yMzPxzz//YODAgXmOiYuLM3DEJcc+yEQyUOqKU2R8mGvKp1KJbhabNgHh4eJ3OTDXlOu9997D1KlTYWNjg7Zt2wIAXnvtNcyfPx8zZ86Eq6srrl+/jm+//TZ7xb38jjElLJCJZDBgwAC5QyAzwVwzD927A19/DZw5A7z6qjwxMNeUy8PDI99ZSnx8fODj41OsY0wFu1gQERGZuLZtgbJlxWwWRFRyLJCJiIhMnI0N4Osrfz9kIqVggUwkg4MHD8odApkJ5pr56N4dOHYMuH1bnusz10hJWCATySA0NFTuEMhMMNfMR9eu4ueuXfJcn7lGSsICmUgGa9askTsEMhPMNfPh6go0bSpfNwvmGikJC2QiGWg0GrlDIDPBXDMvXbqIVfW0WsNfm7lGSsICmYiISCE6dwbu3QOOH5c7EiLTxgKZiIhIIZo2BcqXB3bvljsSItPGhUKIZDB+/HjMmzdP7jDIDDDXzIuFBdCxI/Dbb8C0aYa9tqnkWmxsrNwhUD6M7X1hgUwkg+rVq8sdApkJ5pr56dQJGDoUuHsXcHIy3HWNPdecnZ2h0WgwcOBAuUOhAmg0Gjg7O8sdBgAWyESyGD16tNwhkJlgrpmfTp0ASQL27gUCAgx3XWPPterVqyM2NhaJiYlyh0IFcHZ2NpoPWiyQiYiIFKRKFaB+fdEP2ZAFsimoXr260RRgZNw4SI+IiEhhOncWBbIkyR0JkWligUwkg7i4OLlDIDPBXDNPnTsDN28CZ84Y7prMNVISFshEMpgwYYLcIZCZYK6Zp9atAY1GzGZhKMw1UhIWyEQyWLhwodwhkJlgrpknGxvA29uw8yEz10hJWCATyYCDRMhQmGvmq1Mn4MAB4OFDw1yPuUZKwgKZiIhIgTp3BjIygP375Y6EyPSwQCYiIlKgWrWAGjWA33+XOxIi08MCmUgGc+fOlTsEMhPMNfOlUgE+PoYrkJlrpCQskIlkkJKSIncIZCaYa+bNxweIiRFTvukbc42UhAUykQymTZsmdwhkJphr5q19e/Hzjz/0fy3mGikJC2QiIiKFcnEBvLzYD5mouFggExERKZiPD7B3L5edJioOFshEMkhMTJQ7BDITzDXy8QHi4wF9rwTNXCMlYYFMJIMhQ4bIHQKZCeYatW4NWFvrv5sFc42UhAUykQxCQkLkDoHMBHONypQBWrbUf4HMXCMlYYFMJINGjRrJHQKZCeYaAaKbRUQEoNXq7xrMNVISFshEREQK5+MDPHgAnDghdyREpoEFMhERkcI1bgyUK8fp3oiKigUykQwWL14sdwhkJphrBACWloC3t34LZOYaKQkLZCIZnDx5Uu4QyEww1yiLjw9w5Ajw8KF+zs9cIyVhgUwkg/DwcLlDIDPBXKMsPj5ARgZw4IB+zs9cIyVhgUxERGQG6tYFqlRhP2SiomCBTEREZAZUKtGKzAKZqHAskImIiMyEjw9w+jSQkCB3JETGjQUykQz8/PzkDoHMBHONcurQQfzct6/0z81cIyVhgUwkg1GjRskdApkJ5hrl5OYG1Kunn24WzDVSEhbIRDLw9fWVOwQyE8w1epaPD7B3LyBJpXte5hopCQtkIiIiM+LjA1y7Bpw/L3ckRMaLBTIREZEZaddOrKzH2SyICsYCmUgGmzdvljsEMhPMNXqWvT3QvLnoZlGamGukJCyQiWSwevVquUMgM8Fco/z4+IiZLHS60jsnc42UhAUykQzWrl0rdwhkJphrlB8fHyA5GYiOLr1zMtdISVggExERmZlmzURXC/ZDJsofC2QiIiIzY2UFvPEGC2SigrBAJiIiMkM+PsChQ0BKityREBkfFshEMggODpY7BDITzDUqSMeOQHo6cOBA6ZyPuUZKwgKZSAZccYoMhblGBfHwACpXLr1uFsw1UhIWyEQyGDBggNwhkJlgrlFBVCrRzaK0CmTmGikJC2QiIiIz5eMD/P03cOeO3JEQGRcWyERERGbKx0f8/OMPeeMgMjYskIlkcPDgQblDIDPBXKPncXMD6tUrnW4WzDVSEhbIRDIIDQ2VOwQyE8w1KoyPD7B3LyBJJTsPc42UhAUykQzWrFkjdwhkJphrVBgfH+DqVeDChZKdh7lGSsICmUgGGo1G7hDITDDXqDDt2gGWlqIVuSSYa6QkLJCJiIjMmL090Lw5l50myokFMhERkZnz8QH27QN0OrkjITIOLJCJZDB+/Hi5QyAzwVyjoujYEbh3Dzh58sXPwVwjJWGBTCSD6tWryx0CmQnmGhVF06aiq0VJulkw10hJWCATyWD06NFyh0BmgrlGRWFlBbzxRskG6jHXSElYIBMRERF8fIBDh4CUFLkjIZIfC2QiIiJCx45AejrABfGIWCATySIuLk7uEMhMMNeoqDw8gMqVX7wfMnONlIQFMpEMJkyYIHcIZCaYa1RUKpXoZrFnz4sdz1wjJWGBTCSDhQsXyh0CmQnmGhVH587AqVNAfHzxj2WukZIYZYGcnp6OiRMnomrVqtBoNGjevDl+L8Z3PmvXrkXLli1RtmxZlC9fHq1atcL+/fv1FzBRMXE6JDIU5hoVh68voFYDv/1W/GOZa6QkJSqQPT09MWvWLFy5cqW04gEABAUFISwsDAMHDsTXX38NS0tLdO3aFYcPHy702JCQELz55puoXr06vvrqK3z++edo2LAhbty4UaoxEhERKY2TE9Cs2YsVyERKYlmSg6tVq4apU6fis88+Q6tWrRAUFIR+/frBwcHhhc95/PhxrFu3Dl988QU++OADAMCgQYNQv359TJgwAQefM7z26NGjmDFjBr766iuMGTPmhWMgIiIyV507A2FhgFYLWJaoSiAyXSVqQd6zZw+uX7+O+fPnIzU1FcOHD0elSpXQt29fbNmyBRkZGcU+5/r162FpaYlhw4Zlb7OxscHbb7+NI0eOPLclOCwsDG5ubtnF8aNHj4r/pIgMYO7cuXKHQGaCuUbF1aWLWHb66NHiHcdcIyUpcR9kV1dXfPDBBzhx4gRiY2Mxbty4/2fvvsOqLP8/gL8Pe4iS4gAVN84Uwb0tc3fU3Obe5cpyZMNdiX77pYmL3GluJVdJOVIsQEFzBZqKqKCJgosN5/fHrRSiKJxxn/M879d1nQt9zjnP+Tz2Sd/c3M994/Tp03jnnXdQqlQpvP/++680NeKp06dPw8vLC4UKFcpxvEGDBtnPv8ihQ4dQv359LFq0CMWLF4eLiws8PDywZMmSgl0ckZEkcSV+MhH2GuVXvXqAmxvw00/5ex97jZTEoDfpVa1aFXPmzEFwcDB69OiBhIQELF++HM2bN0eVKlWwZMkSZGVl5XmOuLg4uLu75zru7u4OnU6H2BfcWpuYmIj4+HgEBwdj+vTp+OSTT7B161bUrVsX48aNw3fffWeQayQyhFmzZskugVSCvUb5ZWUFtGuX/4DMXiMlMVhAfvz4MTZs2ID27dvD09MTu3btQufOnbF161bs2rULVatWxfjx4/Hee+/leZ7k5GTY29vnOu7g4JD9/PM8evQIAHDv3j2sWrUKEydORI8ePbB3717UqFEDc+fO1fMKiYiI1KF9e+DUKeDWLdmVEMmhV0DOzMzE/v370a9fP5QsWRIDBw7E3bt38fXXXyM2Nha7d+9Gjx49oNVqsXfvXkydOhWbN2/O85yOjo5ITU3NdTwlJSX7+Re9DwBsbW3RvXv37OMajQa9e/fGjRs3cOPGjZdeU8eOHaHVanM8GjdujMDAwByvCwoKglarzfX+MWPGYNWqVTmORUREQKvVIj4+PsfxGTNm5JqzFRMTA61Wm2tHosWLF2Py5Mk5jiUlJUGr1ea6cXHTpk0YMmRIrtp69+7N6+B18Dp4HbwOXsdLr6NdO7FxyIEDln0dz+J1WNZ1bNq0KTuLVahQAd7e3tkLOBibRqfT6Qr65hIlSuDu3bsoXbo03n33XQwcOBDVq1d/4es3b96Mfv365TnNom3btoiNjcW5c+dyHD906BDatGmDPXv2oFOnTrnep9Pp4OzsjNdeey3XjXwrVqzA+++/j9OnT+P1119/7udGRETA19cX4eHh8PHxyeuyifQWHx8PNzc32WWQCrDXqKAaNAAqVgReMq6Vjb1GpmCqvKbXCHKHDh0QFBSEa9eu4auvvsozHANAnz59XjoH2dvbGxcvXsyeMvFUSEgINBoNvL29n/u+p8/duXMHGRkZOZ57GpiLFy/+sksiMomhQ4fKLoFUgr1GBdW+vdh2+pl/Ul+IvUZKoldAHjZsGGrXrg2NRvPc5+Pj43H06NF8nbNHjx7IyMhAQEBA9rG0tDSsXbsWjRo1QunSpQEA169fR1RUVI739u7dG5mZmVi3bl32sZSUFGzcuBE1a9ZEqVKl8lULkbHMnDlTdgmkEuw1KqgOHYCEBODEiVd7PXuNlESvJcBbt26N77//Hv369Xvu8wcPHkS/fv2QmZn5yuds0KABevbsiWnTpuH27duoXLky1q5di2vXrmHNmjXZrxswYACOHj2aY0R61KhRWLlyJcaMGYOoqCh4enpi/fr1uH79Ovbu3VvwCyUyME7jIVNhr1FBNWgAFC0K7NsHNG788tez10hJ9BpBftn05dTUVFhbW+f7vN9//z0++OADbNiwARMmTEBmZib27duHpk2bZr9Go9HAyipn+Q4ODjh8+DD69euHNWvWYMqUKbCxscH+/fvRtm3bfNdBRESkVtbWQMeOwJ49sishMr18jyDHxMQgOjo6+/eRkZHPnUaRmJiIFStWoFy5cvkuys7ODn5+fnnuynP48OHnHndzc8Pq1avz/ZlERESUk1YLbNgAXL0KVKggu5rn0OmA+HhR4MOHwOPHYn9sFxfgtddE0c7OsqskC5TvgLxmzRrMmjULGo0GGo0GX3zxBb744otcr9PpdLC2tsaKFSsMUiiRkqxatQrDhg2TXQapAHuN9NG+PWBnJ0aRx4/P+7Um67WzZ0VBBw8Cp08D9+7l/fqSJYHatYFGjYCGDYGmTQFXV+PXSRYt3wG5V69eqFWrFnQ6HXr16oXx48ejefPmOV6j0Wjg7OwMb29vlCxZ0mDFEilFREQEQwuZBHuN9OHiArRuDeze/fKAbNReS00F1q8Hli4VodjFBWjVCpg4EaheHahUCShcWIwWZ2QADx4Ad++KkeW//wYiIoDly4E5c8TckaZNxfyRrl2BqlWNUzNZNL3WQV63bh1atGiBCmb5c5f84TrIREREuS1dCkyYANy5I2HgVacTczw++QS4eVPM+Rg6VCyxYWub/3NdvQr88ou48/DgQSApCahXD+jfH+jTR4w2k1mziHWQBw0apIhwTERERM+n1YpB2Z9+MvEHX7kihq8HDhTLaJw/DwQGioLyG44BsTVgxYrAqFFiSDw+Hti+HShTBpg8GShdGujWTQTngo8dkkLka4rF0KFDodFoEBAQAGtr61daFFyj0eTa4pCIiIgsQ5kygI+PyJR9+5roQ3ftAoYMEevMBQUBb71l+M9wdAS6dxePe/eALVvEcHmbNkC1asDYsSKcu7gY/rPJ7OUrIB86dAhWVlbIysqCtbU1Dh069MJNQp562fNERERk3rRa4P/+D0hLEzftGY1OB8ybJ6ZUdO8OrFxpmnkdRYsC770HjB4NHD0K+PuLeSWffgqMGyd+zW20VSVfUyyio6Nx5coV2D750UZ0dDSuXr2a5+PKlStGKZzIkmm1WtklkEqw18gQunQR973ltTmu3r2m04kg+sknwMyZwLZtpp/0rNEALVuKz756FRg2THxnUK6cuCHw5k3T1kPS6DUHmYgKZuzYsbJLIJVgr5Eh1KkDlC0rpgC/iF69ptMBH30ELF4MLFsGzJghwqpMZcsCX38NXLsmalu7VqyrPHo0cOOG3NrI6BiQiSTgzo5kKuw1MgSNBnjnHWDnTiAr6/mv0avX5s4FvvlGTG0YPbrg5zEGNzdg9mwRlOfMETf2Va4MfPihWNqDFClfAdnKygrW1tb5etjY5HupZSIiIjIzPXsCcXHA778b+MRbtwLTp4sQOmaMgU9uQIULA1OnitU1PvlEzI+uWFHUfv++7OrIwPKVXqdPn86b7oiIiFSocWPAw0NMz23WzEAn/fNPsVpFnz7AZ58Z6KRGVriwCMVjxgB+fsCCBWLk+7PPxDF7e9kVkgHotVGIknCjEDKlwMBAdO3aVXYZpALsNTKk8eOBHTuA69cBq2d+Bp3vXnv0CKhbV+x+9/vvgJOTYYs1ldhYMfr93XdA+fJiFY4ePeTPoVYoi9gohIgKZtOmTbJLIJVgr5Eh9ewp8uAff+R+Lt+99tFH4mRbt1puOAbEsPry5cDZs2L95F69xFbWz/tDIouRrykW69evBwAMGDAAGo0m+/cvM3DgwPxXRqRgW7ZskV0CqQR7jQypaVPA3V1Ms2jaNOdz+eq1PXuAgABgxQrAy8uwRcpSo4bYwvrXX4FJk4AmTURYnjdPrH5BFiVfUyysrKyg0WiQnJwMOzs7WD3785XnfYBGg8zMTL2KNAVOsSAiInq5cePERncxMbmnWbyShw9FmKxdG9i7V5lTETIzge+/FxuNxMeL9Z0/+0zMXya9mCqv5WsE+erVqwAAuyfb6Dz9PREREalDr17inrTjx4HmzQtwgpkzgbt3gSVLlBmOAcDaGhg8WMxJ+fprMYq8fr34OnBgAb+zIFPKV0AuV65cnr8nIiIiZWvaVGwst2FDAQLyn38CixYBX3whbmhTOmdnseLFkCHAlCni67JlwLffAg0byq6O8mCQb2EyMzMRFhaGbdu2Ydu2bQgLC7OIaRVEsgwZMkR2CaQS7DUyNCsr4N13xb11KSn/Hn9prz3dLa9yZbFts5qULQts2gT89huQmgo0aiRGmG/dkl0ZvYDeAXnt2rUoU6YMGjdujN69e6N3795o3LgxSpcujdWrVxuiRiLF4e5mZCrsNTKG/v2BxERg//5/j72014KCgIMHxdrBT6Zqqk6LFkB4uFj1Yu9ecYPiggVAWprsyugZegXkFStWYOjQoXB3d8fSpUtx8OBB/Prrr1iyZAnc3d0xYsQILF++3FC1EilG3759ZZdAKsFeI2OoXh3w9RXTLJ7Ks9eyssQudE2bAlqt8Qs0Z9bWwKhRwMWLYhR52jSgVq2c322QdHptFFKxYkWULVsWv/76K2xtbXM8l56ejjfeeAM3b97ElStX9C7U2LiKBRER0atbuFBk3rg4oGjRl7x40yagXz9xZ1+TJiapz2KcOydWuTh0COjYEfjmG+UsfWcEFrFRyK1bt9CrV69c4RgAbG1t0adPH9y+fVufjyAiIiIz1KcPkJEh1kTOU1aWuCmvQweG4+epVUusnbx9O3D+vPj91KliOTySRq+AXLduXVy8ePGFz0dFRcHb21ufjyBSpODgYNklkEqw18hYSpUC2rUDnt5u9MJeCwwUwe+zz0xXnKXRaIDu3YG//hJ/Tt9+C1StKuawFPwH/aQHvQLy4sWLsXXrVixatAjJycnZx5OTk/HNN99g27Zt8Pf317tIIqWZP3++7BJIJdhrZEwjRgBhYWL1tuf2mk4HzJ0LvPEGR49fhaOjWBYuMlLM1x4wAGjWDIiIkF2Z6uRrDnLt2rVzHbt37x7i4uJgY2MDDw8PAEBsbCwyMjLg7u6OYsWK4c8//zRcxUbCOchkSklJSXBycpJdBqkAe42MKT0d8PQUg5/z5z+n14KCxDDzwYMiJFP+HDoEjB8PXLggvhv54gvAzU12VVKZ5U56RYsWheaZXW+KFSuGKlWq5DhWXg2LfxPpgYGFTIW9RsZkayv2vli6FJg//zm9tmgR4O0NtG5t+uKU4I03gNOnxR/w9Oli8ek5c4DRowGbfEU4yqd8/ekeOXLESGUQERGRJRo+HPjqK3Gz3qBB/3kiKkosXbZ2rXK3lDYFGxsxity3L/DJJ+LXAQFinnKrVrKrUyxuBk5EREQFVrEi0KYN8N13zzzx7bdAiRJiuQvSX/Hi4g85LExsYd26NdC7N3D9uuzKFMkgATk9PR1nz55FcHAwjh49mutBRDlNnjxZdgmkEuw1MoVRo4Djxyfj9OknBx48ANatE1MB7O2l1qY49eqJ9aTXrQOOHhWrXcydm3Pfb9KbXhNYsrKyMG3aNCxduhRJSUkvfF1mZqY+H0OkOJ6enrJLIJVgr5EpdO0KuLp6YuFCMaMCmzYBycnAyJGyS1MmKytg4EDxBz9nDjBrllhv75tvxE6FnNKiN71GkL/88kssWLAA/fv3x/r166HT6TBv3jwsX74ctWvXRp06dXDgwAFD1UqkGOPGjZNdAqkEe41MwcYG+OSTcdi0Cbh1C8CqVWJjkNKlZZembIULAwsWAGfPit33unYVf+6RkbIrs3h6BeS1a9eiV69eWLZsGdq3bw8A8PX1xYgRIxAaGgqNRoNDhw4ZpFAiIiIyXyNGiFUtdkz/EzhxQty9R6ZRrRrw00/Ajz8Cly4Br78OTJokprpQgegVkG/cuIE3nqxraP9kjlHKkzkwdnZ26N+/P77//ns9SyQiIiJz5+oqlnyz+34VdCVKAp06yS5JXTQaMb3i/Hkx5WLZMjGqvG6d2O6b8kWvgFysWDE8evQIAFCoUCEULlwYV65cyfGahIQEfT6CSJEi+eMvMhH2GplKZGQkPhidgu4pG3Cm7iAxnEym5+AgloOLjBTLwA0eLHblO3lSdmUWRa+AXLduXZw4cSL7961bt8bChQtx/PhxHDt2DN9++y3q1Kmjd5FESjNlyhTZJZBKsNfIVKZMmYJKZ3ahKBLw4flhSE+XXZHKlS0LbN4MHDkCPH4MNGggpr3884/syiyCXgF55MiRSE1NRWpqKgDgiy++QGJiIlq0aIGWLVviwYMH+Prrrw1SKJGS+Pv7yy6BVIK9Rqbi7+8PbNyIx3Wa4NANL/zwg+yKCADQsiUQEQEsXgzs3CmmXSxaBH4HkzeNTqfTGfKE9+/fx5EjR2BtbY0mTZqgaNGihjy90Zhqb28iIiJFunsXKFUK+OYbdDs4FufOAX/9xR2RzUp8PPDZZ2Invho1xGYuT+4lsxSmymsG30mvSJEi6NKlCzp37mwx4ZiIiIj0tHOnuBmsZ09Mnw78/bdYDpnMiJsbsHw5EB4u7qp8802gRw/g2jXZlZkdgwTkvXv34v3330enTp3QqVMnvP/++9i7d68hTk1ERESWYNMmMRpZsiTq1hULKsyZw5/km6W6dYFjx4ANG4DffxfLxM2aJTZ3MXNpaab5HL0CcmJiIlq3bo0uXbpg5cqVOHfuHM6ePYuVK1eiS5cuaNWqFRITEw1VK5Fi+Pn5yS6BVIK9RiYRFwe/w4eBPn2yD82aJUaRAwIk1kUvptEA774LREUBH3wAfPGF2LZ640bpy8JlZACXLwM//yxmgYwbB7RrB1SoADRpYpoa9ArIEyZMwLFjx+Dn54eEhARcu3YNMTExSEhIwLx58xAcHIwJEyYYqlYixchra3YiQ2KvkUls3YokKyvgnXeyD3l7i3WRZ8wAOFZmxlxcgK++Ai5cAOrXB/r3Bxo3Bo4fN/pHP3wo9pRZtw74+GPxU4dq1QAnJ6ByZbEp4JQpwKFD4ljPnmIFO1PQ6ya9IkWKYPDgwVi0aNFznx83bhzWr1+P+/fvF7hAU+FNekRERAXUuDFQvDiwe3eOw3FxQJUqwOjRwP/+J6k2yp/ffgM+/FCsfNGrFzBvnhi61UNCgsjff/0lvj79dUzMv68pVw6oXl0MYnt5ib6pUkWsVmdt/e/rTJXX9Lq31NbWFl5eXi98vlq1arDlQuFERETKdeMGEBIi5rM+w91djAzOni1CcuXKEuqj/GnZUgzrbtgATJsmhnQ/+EAM3RYpkudbU1NF+D1zBvjzT/H1/Hng1i3xvJUVUKmSWECjXz/xtUYN8RHOzia4tnzQKyB3794d27Ztw+jRo2H933gPICMjA1u3bkXPnj31KpCIiIjM2O7dYi23F2wt/dFHwHffAWPGiDmlGo2J66P8s7ICBg4EuncHFiwA5s8H1qwR3+kMHw6dtQ1u3fo3CD8Nw5GRYv4wIIJwnTrAyJEiBFevLkaGHRzkXtqryldAjoiIyPH7/v37Y+zYsWjSpAlGjhyJyk++Nbx06RICAgKQlpaGd99913DVEilEfHw83NzcZJdBKsBeI6MLDARatUJ8Rgae12mOjsCyZSI/r18PDBpk8gqpoJydoZsxEzfaj0Dmx5+i/HvvIXqSP6bafI2t99sBAAoVAmrXBpo1E98E1akDvP66OG7J8jUH2crKCppnvvX779ufPvfssczMTH3rNDrOQSZT0mq12P3MXD0iY2CvkVElJoq5x998A21QUJ69NmAAsG+f+BF8qVImrJFemU4HXL8ulkk+eVI8wsPFHjAA0KFEOOZnfohad4/iVt32SPvya5RpWwNWBt9V48XMcg7ymjVrjFUHkarMnDlTdgmkEuw1MqqffhI/U+/SBTNfsv7WwoXAgQNilHH7dk61MAd374rp46GhiUeYwgAAIABJREFU/wbiO3fEc+7uQL16wPjxgK+veJQq5QvojgCBgSg1eTLQuTYwYgQwcyZQsqTMSzE4g281bak4gkxERJRPffoAly6JYcZXsH27WKrru++A4cONXBvlkJkJnDsH/PGHCMV//AFcvCieK15crPBWr554+PoCHh4vOWFqKuDvD8ydK75JmjRJTDg38twKsxxBzsujR49w/fp1AEDZsmVRyNInnxAREdGLpaYC+/cDkye/8lt69BA3bY0bBzRqBNSqZcT6VO7p6PAff4hHWBjw6JFYMq1OHeCtt4Dp08UKfRUqFGBE395eBOIhQ4AvvxSPZcvEaPKwYYCFr2Km96yREydOoHXr1nB1dUWtWrVQq1YtuLq64o033sDJkycNUSMRERGZmyNHxE4PXbrk620LF4rl3nr04AYihhQbK3b7HjVKLJvm5gZ07ixG611cgM8+E0sc378vBvz9/cVGehUr6jndpWhRscj1xYtA27bA+++L73x27RKTmi2UXgE5NDQULVq0QEREBEaMGIFvvvkG33zzDUaMGIGIiAi0aNECYWFhhqqVSDFWrVoluwRSCfYaGc3evWJ3h9dfB/DqveboCOzcCfzzj9iH4umyYJQ//w3EVasCpUuLtYWPHQNatxbLGF++LNYgDgwEpk4FWrQw4nrD5cqJZUoiIoDy5cWuis2amWRHPmPQKyB/+umnKF26NKKiorBs2TKMHz8e48ePx7JlyxAVFQUPDw98+umnhqqVSDGeXTKRyFjYa2Q0P/8s9gJ+MvyYn16rUkXMRz58WNy0Z8EDjSbzokAcHAy0aQNs3SrC8IULYqaDQUaHC8LbW9yN+csvQHKyCMnduolFki2I3iPIo0aNQqnnrNdSsmRJjBw5EiEhIfp8BJEiLVmyRHYJpBLsNTKKv/8Wj/btsw/lt9feeAMICBCPKVMYkp/1qoH4/HlgyRJx86NZLSTRpo1YFmPDBuD0aTHtYtQosf+4BdDrJj0rKytk5PGzkczMTFiZcnE8IiIiMr4DB8RNWG+8oddphgwR05gnTBCb8X35pXqXf4uNFdO6nz4uXRLHa9QQWXPuXDFFwqxC8MtYWYmh7B49gKVLxUVs2ABMnChWvXB1lV3hC+kVkJs0aYIlS5agX79+KFeuXI7nYmJisHTpUjRt2lSvAomIiMjM/PST+NG5i4vepxo/XsxD/ugj4N49kaOsrQ1Qo5m7eVPcNPe8QPzWW8AXX1hgIH4Re3sRiocMAfz8gP/7PzHsPXWqWNLEaBOjC06vgPzll1+iRYsWqFatGrp16wYvLy8AQFRUFH788UfY2Njgq6++MkihREREZAZSUsTk4RkzDHbKDz8UiyEMHw5cuwb88IP4vZK8SiBu2RIoUUJmlUbm6gp89ZX4rujLL8U6cwsXiiU2RowQQdpM6DX/oW7duggJCUH79u2xe/duzJ49G7Nnz8aePXvQvn17hISEoE6dOoaqlUgxtFqt7BJIJdhrZHDBwUBSUo75x4D+vTZ4sBiYPnFCbFbxxx96nU66mzdF0B85EvDyAsqUEbMNfv9drIa2bRtw+3bOOcSKDsf/5e4OLF4slobr0EHMsalaFVi71myWNdF7o5CaNWti165dyMrKwp07d6DT6VCiRAnOPSbKw9ixY2WXQCrBXiOD+/lnsc3ak+XdnjJEr731llijt3dvoGlT8VP5OXMAJye9T21UOh0QHQ0cPSpGiY8eFUusAUDNmiIQf/mlmDKhmhD8KsqXB9asEXdpfv75v1Mw5swBuneXOiG9wCk2KSkJxYoVw4IFC8SJrKxQsmRJlCpViuGY6CXatm0ruwRSCfYaGdzPP4vR42fCi6F6rXx5sXSun58YWa1RA1i3TmyVbC50OrFqWUAA0L8/4OkpllQbMkQsA9yx478jxOfOiU05evRgOH6h6tXFun8nToj1lHv2FHtfHzggbXmTAidZJycn2NjYwNkMJ1YTERGREcTFiTkBb71l1I+xsRE7WJ85I6ZbDB4sBqwDAsR2yaaWmAgEBYmBzc6dRdCtXl1sGnfxohjx3r0biI8XK5p9+y0DcYHUqye+ATtyBHBwEN+ItWolpvWYmF5Dvd27d8f27duh4+KFREREynf4sPjaurVJPs7L69+BxcqVgdGjxeyOYcNEIE1KMuzn6XTie4CgILF78sCBYtvm114D2rUTiy+kpwPvvSfmSyckAGFh4rVvv628GwuladlSbAm4bx/w4AHQvLn4DxAaarIS9JqD3KdPH7z//vto3bo1RowYgfLly8PR0THX63x8fPT5GCLFCQwMRNeuXWWXQSrAXiODOnRIbPjwnLXHjNlr9eqJQHztGrBypZi+sHq1WPTA1xdo0ACoU0dMc6hQQQRaZ+fcU1gzMkSovXdPbHUdHQ1cvSoeV66IwfG7d8VrnZzEpb75JvDJJ0DDhmIHQM4iNRGNRsxVad9e7E0+YwbQqJFYXtAUH6/TY/j3v3ONNc+ZSK3T6aDRaJBpThOHXiAiIgK+vr4IDw9noCej6927N7Zs2SK7DFIB9hoZVMWKYqh00aJcT5m61y5eFKO4ISFiYPHq1ZzPW1uLZZo1GjF/OTMTePw493lKlBChukIFMW2idm0xnaNCBYZhs5KZCWzdioiPP4ZvTIzR85peI8hr1qwxVB1EqsLAQqbCXiODeTrU+oLd80zda15e4jFhgvh9crIo79o1MUp8/7746bxGI4KutTVQpIiYBlG0KODmJu4H461UFsLaGujbF6hUSQznG1mBAnJKSgp+/PFHxMXFoVixYujcuTPc3d0NXRsRERGZi8OHRdJs2VJ2Jc/l6ChWvKhRQ3YlZFQ2eq9Q/Gofk983/PPPP2jSpAmuXr2afXOes7Mzdu3ahTZt2hi8QCIiIjIDBw+KCb+urrIrITK6fM+umTNnDqKjozFx4kTs3bsXCxcuhIODA0aNGmWM+oiIiEg2nU7coPeC6RVESpPvgBwUFISBAwfif//7Hzp27Ijx48fD398f0dHRiIqKMkaNRIozZMgQ2SWQSrDXyCAiI4Fbt/IMyOw1UpJ8B+SYmBg0e2aJjWbNmkGn0+H27dsGK4xIybi7GZkKe40M4tAhwNZW7P/8Auw1UpJ8B+TU1FQ4ODjkOPb09xkZGYapikjh+vbtK7sEUgn2GhnEoUNiDdo8lnxgr5GSFOhWwOjoaERERGT//v79+wCAS5cuwfU5k/e5rjAREZGFysoSW/+OGye7EiKTKVBA/vzzz/H555/nOv7+++/n+L0lbRRCREREz3HunNh6rlUr2ZUQmUy+AzI3ByHSX3BwcK65/ETGwF4jvR07JuYfN2iQ58vYa6Qk+Q7IgwYNMkYdRKoyf/58/kNCJsFeI70dOybWP3ZyyvNl7DVSEu4yTiTB5s2bZZdAKsFeI73odCIgN2/+0pey10hJGJCJJHB6yUgMkaGw10gv0dFAbOwrBWT2GikJAzIRERE937Fj4mse6x8TKZFZBuS0tDRMnToVZcqUgZOTExo1aoRff/013+d56623YGVlhfHjxxuhSiIiIoU7dgyoVQsoWlR2JUQmZZYBeeDAgVi4cCH69++Pb7/9FjY2NujYsSN+//33Vz7Hzp07ERISAo1GY8RKiQpm8uTJsksglWCvkV6OHQNe8cY79hopidkF5LCwMGzduhXz5s3DvHnzMHz4cBw8eBDlypXDlClTXukcqampmDRpEj7++GPodDojV0yUf56enrJLIJVgr1GB3bkDREW90vxjgL1GymJ2AXn79u2wsbHBiBEjso/Z29tj2LBh+OOPP3Dz5s2XnsPPzw86nQ6TJk0yZqlEBTaOO1KRibDXqMCCg8XXVwzI7DVSErMLyKdPn4aXlxcKFSqU43iDJwuUnz59Os/3x8TEwM/PD/Pnz4e9vb3R6iQiIlK0Y8eAcuWAsmVlV0JkcmYXkOPi4uDu7p7ruLu7O3Q6HWJjY/N8/0cffQQfHx/07NnTWCUSEREpXz7mHxMpjdkF5OTk5OeO/Do4OGQ//yKHDx/Grl27sGjRIqPVR2QIkZGRsksglWCvUYE8egScOvXK0ysA9hopi9kFZEdHR6SmpuY6npKSkv3882RlZWHChAkYOHAgfHx8jFojkb5e9YZTIn2x16hATpwAMjPztf4xe42UxOwCsru7O+Li4nIdf3rMw8Pjue9bu3YtLl68iJEjR+LatWu4du0aoqOjAQAPHz7EtWvX8hx9fqpjx47QarU5Ho0bN0ZgYGCO1wUFBUGr1eZ6/5gxY7Bq1aocxyIiIqDVahEfH5/j+IwZM+Dn55fjWExMDLRaba7vxBcvXpxrCZ2kpCRotVoEP72R4olNmzZhyJAhuWrr3bs3r8NMrsPf318R1wEo47+Hkq/D399fEdcBKOO/h8VcR0gI4OICVK/+ytfh7+9vftfxDIv976HS69i0aVN2FqtQoQK8vb0xceLEXOcxBo3OzNZBmzJlChYuXIh79+7luFHvyy+/xOeff46YmBiULl061/tmzZqF2bNn51rWTaPRQKfTQaPRYNeuXc9tHkA0i6+vL8LDwzkCTURE6ta1K/DwIXDwoOxKiHIwVV4zuxHkHj16ICMjAwEBAdnH0tLSsHbtWjRq1Cg7HF+/fh1RUVHZr+nbty927dqFwMDAHA+dTodOnTohMDAQDRs2NPn1EBERWRSdDggNBfhvJqmYjewCntWgQQP07NkT06ZNw+3bt1G5cmWsXbsW165dw5o1a7JfN2DAABw9ehRZWVkAAC8vL3h5eT33nBUqVMDbb79tkvqJiIgs2vXrwK1bDMikamY3ggwA33//PT744ANs2LABEyZMQGZmJvbt24em/7lZQKPRwMrq5eVrNBpuN01m59k5XkTGwl6jfAsNFV/zGZDZa6QkZjeCDAB2dnbw8/PL83+2w4cPv9K5MjMzDVUWkcEkJSXJLoFUgr1G+RYaCnh6AqVK5ett7DVSErMcQSZSulmzZskugVSCvUb5VsD5x+w1UhIGZCIiIhLS04HwcKBRI9mVEEnFgExERETC2bNAcjJv0CPVY0AmkuDZxdmJjIW9RvkSGgrY2AAFWF+WvUZKwoBMJMHQoUNll0AqwV6jfAkNBWrXBhwd8/1W9hopCQMykQQzZ86UXQKpBHuN8kWPDULYa6QkDMhEEnA7czIV9hq9ssREIDKywAGZvUZKwoBMREREwIkT4itv0CNiQCYiIiKI6RVFigBeXrIrIZKOAZlIglWrVskugVSCvUavLCREjB5bFSwasNdISRiQiSSIiIiQXQKpBHuNXolOp9cNegB7jZSFAZlIgiVLlsgugVSCvUav5OpVID5er4DMXiMlYUAmIiJSu9BQ8bVBA7l1EJkJBmQiIiK1Cw0FKlYEiheXXQmRWWBAJiIiUjs95x8TKQ0DMpEEWq1WdgmkEuw1eqnUVODUKb0DMnuNlIQBmUiCsWPHyi6BVIK9Ri/1558iJDdqpNdp2GukJAzIRBK0bdtWdgmkEuw1eqnQUMDODvD21us07DVSEgZkIiIiNQsNFeHY3l52JURmgwGZiIhIzXiDHlEuDMhEEgQGBsougVSCvUZ5unsX+PtvgwRk9hopCQMykQSbNm2SXQKpBHuN8hQWJr4aICCz10hJGJCJJNiyZYvsEkgl2GuUp9BQoFgxoFIlvU/FXiMlYUAmIiJSq5AQsb20RiO7EiKzwoBMRESkRjqdmGKh5/rHRErEgExERKRGly4BCQlcwYLoORiQiSQYMmSI7BJIJdhr9EKhoeJrgwYGOR17jZSEAZlIAu44RabCXqMXCg0FvLyA114zyOnYa6QkDMhEEvTt21d2CaQS7DV6IQNvEMJeIyVhQCYiIlKblBTgzz85/5joBRiQiYiI1ObUKSA9nQGZ6AUYkIkkCA4Oll0CqQR7jZ4rJARwcABq1zbYKdlrpCQMyEQSzJ8/X3YJpBLsNXqu0FDAxwewszPYKdlrpCQMyEQSbN68WXYJpBLsNXouA9+gB7DXSFkYkIkkcHJykl0CqQR7jXL55x8gOtrgAZm9RkrCgExERKQmTzcI4Q16RC/EgExERKQmoaFAiRJAuXKyKyEyWwzIRBJMnjxZdgmkEuw1yuXp/GONxqCnZa+RkjAgE0ng6ekpuwRSCfYa5ZCVBYSFGWV6BXuNlIQBmUiCcePGyS6BVIK9RjlERgIPHgCNGhn81Ow1UhIGZCIiIrUIDRVTK+rXl10JkVljQCYiIlKL0FCgenWgcGHZlRCZNQZkIgkiIyNll0AqwV6jHIywQchT7DVSEgZkIgmmTJkiuwRSCfYaZUtKAs6eNVpAZq+RkjAgE0ng7+8vuwRSCfYaZQsPBzIzjRaQ2WukJAzIRBJwOSQyFfYaZQsJAZycgFq1jHJ69hopCQMyERGRGoSGAvXqATY2sishMnsMyERERGpgxBv0iJSGAZlIAj8/P9klkEqw1wgAEBsL3Lhh1IDMXiMlYUAmkiApKUl2CaQS7DUCIEaPAaMGZPYaKQkDMpEEs2bNkl0CqQR7jQCIgOzhAZQpY7SPYK+RkjAgExERKV1ICNCokewqiCwGAzIREZGSZWQAJ04wIBPlAwMykQTx8fGySyCVYK8Rzp0Tu+gZOSCz10hJGJCJJBg6dKjsEkgl2GuEkBCx9rGvr1E/hr1GSsKATCTBzJkzZZdAKsFeI4SEAHXqiF30jIi9RkrCgEwkgY+Pj+wSSCXYa2SqG/TYa6QkDMhERERKde8eEBXFG/SI8okBmYiISKmebhDCgEyULwzIRBKsWrVKdgmkEuw1lQsJAYoVAypVMvpHsddISRiQiSSIiIiQXQKpBHtN5Z7OP9ZojP5R7DVSEgZkIgmWLFkiuwRSCfaaimVliSkWJppewV4jJWFAJiIiUqKoKOD+faBxY9mVEFkcBmQiIiIlCgkRUyvq15ddCZHFYUAmIiJSopAQoGZNoHBh2ZUQWRwGZCIJtFqt7BJIJdhrKmaiDUKeYq+RkjAgE0kwduxY2SWQSrDXVOrhQ+DcOZMGZPYaKQkDMpEEbdu2lV0CqQR7TaVOnBCrWJgwILPXSEkYkImIiJQmJETMPa5eXXYlRBaJAZmIiEhpQkKAhg0BK/4zT1QQ/D+HSILAwEDZJZBKsNdUSKf7NyCbEHuNlIQBmUiCTZs2yS6BVIK9pkKXLgF37gBNm5r0Y9lrpCQMyEQSbNmyRXYJpBLsNRUKDhYbhJh4Bz32GikJAzIREZGSHD8O1K4NFCkiuxIii8WATEREpCTBwSafXkGkNAzIRERESnHnDnDxItCsmexKiCwaAzKRBEOGDJFdAqkEe01ljh8XXyWMILPXSEkYkIkk4I5TZCrsNZU5fhwoWxbw9DT5R7PXSEnMMiCnpaVh6tSpKFOmDJycnNCoUSP8+uuvL33fzp070bdvX1SqVAnOzs6oVq0aJk2ahPv375ugaqJX17dvX9klkEqw11QmOFja9Ar2GimJWQbkgQMHYuHChejfvz++/fZb2NjYoGPHjvj999/zfN+oUaPw119/YcCAAVi8eDE6dOgAf39/NGnSBKmpqSaqnoiISILkZCA8nDfoERmAjewCnhUWFoatW7fi66+/xsSJEwEAAwYMQK1atTBlyhQEBwe/8L07duxAixYtchzz8fHBoEGDsHHjRgwdOtSotRMREUlz4gSQns4b9IgMwOxGkLdv3w4bGxuMGDEi+5i9vT2GDRuGP/74Azdv3nzhe58NxwDQrVs3AMBff/1l+GKJCiivb/SIDIm9piLBwUDhwkCtWpI+nr1GymF2Afn06dPw8vJCoUKFchxv0KBB9vP5ERcXBwBwc3MzTIFEBjB//nzZJZBKsNdU5PhxsXuetbWUj2evkZKYXUCOi4uDu7t7ruPu7u7Q6XSIjY3N1/n8/PxgY2ODHj16GKpEIr1t3rxZdgmkEuw1lcjKAn7/Xer0CvYaKYnZBeTk5GTY29vnOu7g4JD9/Kv64YcfsHr1akyaNAmVKlUyWI1E+nJycpJdAqkEe00lzpwBEhOB5s2llcBeIyUxu4Ds6Oj43BUnUlJSsp9/FceOHcPw4cPRoUMHzJ0795U/v2PHjtBqtTkejRs3RmBgYI7XBQUFQavV5nr/mDFjsGrVqhzHIiIioNVqER8fn+P4jBkz4Ofnl+NYTEwMtFotIiMjcxxfvHgxJk+enONYUlIStFptrnlfmzZteu6C7b179+Z18Dp4HbwOXocSr+PIEcTY20O7YIFlXwcU8t+D12GQ69i0aVN2FqtQoQK8vb2zF3AwNo1Op9OZ5JNeUdu2bREbG4tz587lOH7o0CG0adMGe/bsQadOnfI8x59//onWrVvDy8sLhw4deqXvaiMiIuDr64vw8HD4+PjodQ1EREQm1bUr8OABcOiQ7EqIjMpUec3sRpC9vb1x8eJFPHr0KMfxkJAQaDQaeHt75/n+y5cvo3379ihVqhT279/PH/mQWXr2u24iY2GvqUBWFnD0KNCqldQy2GukJGYXkHv06IGMjAwEBARkH0tLS8PatWvRqFEjlC5dGgBw/fp1REVF5Xjv7du30bZtW9jY2ODnn39G0aJFTVo70avylLANLKkTe00FzpwBEhKkB2T2GimJ2W0U0qBBA/Ts2RPTpk3D7du3UblyZaxduxbXrl3DmjVrsl83YMAAHD16FFlZWdnH2rVrh+joaEyZMgXHjh3Lcd6SJUuiTZs2JrsOoryMGzdOdgmkEuw1FThyBHBwAJ4shyoLe42UxOwCMgB8//33+Pzzz7FhwwYkJCSgdu3a2LdvH5r+Z/tMjUYDK6ucA+Bnz54F8Py1GFu2bMmATEREynPkiFj/+MlqT0SkP7MMyHZ2dvDz88t1J+V/HT58ONexzMxMY5ZFRERkXp7OP/7gA9mVECmK2c1BJlKDZ5fLITIW9prCmcn8Y4C9RsrCgEwkwZQpU2SXQCrBXlM4M5l/DLDXSFkYkIkk8Pf3l10CqQR7TeHMaP4xe42UhAGZSAIuh0Smwl5TMDNZ//gp9hopCQMyERGRJTp1ymzmHxMpDQMyERGRJfrlF6BQIaBRI9mVECkOAzKRBHktYUhkSOw1BQsKEqPHdnayKwHAXiNlYUAmkiApKUl2CaQS7DWFevwYOH4ceOst2ZVkY6+RkjAgE0kwa9Ys2SWQSrDXFOroUSAtzawCMnuNlIQBmYiIyNL88gtQpgxQrZrsSogUiQGZiIjI0gQFidFjjUZ2JUSKxIBMJEF8fLzsEkgl2GsKFBsLnD9vVtMrAPYaKQsDMpEEQ4cOlV0CqQR7TYF++UV8bdNGbh3PYK+RkjAgE0kwc+ZM2SWQSrDXFOjAAaBuXaB4cdmV5MBeIyVhQCaSwMfHR3YJpBLsNYXJyAB+/hno1El2Jbmw10hJGJCJiIgsRUiI2F7aDAMykZLYyC6ALNOdx3cQnxSPykUrY+PZjbjx4AZalW+FEzdPID4pHp29OsPO2g4JKQloWrYpHG0dZZdMRGT59u0D3NyA+vVlV0KkaAzI9ErSM9OxKHQRbj+6DWc7Z3wV/BXSMtNgZ22H9Mx0ONk64fPDn8PO2g6F7Qvjy+Avs9/r6uCKiq9VhIONA7ReWnT26ozyruXhbOcs8YrkWrVqFYYNGya7DFIB9prC7N0LdOwIWFvLriQX9hopCQMyvdDD1If4/PDnSEhJwLXEawiOCYargyvuJd/DKN9R6FClA07FnUKXal1Qo3gNhMeGo6pbVRSxL4LQm6Gwt7aHnbUddvy1A7cf3cbd5LuYcWQGPj74MQCgfeX2GOkzEs08m6G4s3ndbGJsERER/IeETIK9piAxMcC5c8Dnn8uu5LnYa6QkGp1Op5NdhDmIiIiAr68vwsPDVX2jQWZWJjac2YD0rHTs/GsnjkQfQZnCZfAw7SFWaVehfeX2eJD6AK4OrgU6/73ke7hw5wLO/3MeS08uxZnbZwAAb1V8C580/wTNPZvD2sr8RkaIiKRbtgwYNw6IjwdcC/Z3MJGlM1Ve4wgy5fDJwU8w//f5AABHG0fs7L0T7Su3z/GagoZjACjqWBTNPJuhmWczjKo3CjH3Y3D46mEs+H0BWq9rjZLOJTHcZzimNp0KF3sXva6FiEhR9u4FmjdnOCYyAQZkQuiNUPTd0Rc66BCdGI15b87D0LpDoYMOJZxLGPWzPYt4YpD3IAyoMwChN0Kx+dxmfP3H11h6YimG1h2KMfXHoMJrFYxaAxGR2UtKAg4dAubMkV0JkSpwmTcVS0hOwOO0xxgUOAjWVtao51EPs1rNwuSmk1HcubjRw/F/WWms0LhsYyzqsAgXx17EcJ/hWHN6Dar6V8VHBz7CveR7JquFiMjsHDgApKQAWq3sSohUgQFZpdadXofiC4qj0FeFEJ0YjZ29dmJbz22Y3nI6rDRy26JskbKY/9Z8XJ94HdNbTseK8BWosKgCZv82GykZKVJrMxQt/5EjE2GvKcSOHUCtWoCXl+xKXoi9RkrCgKwyOp0O91Pu48OgD9GkbBNMbToV+9/dj9dLvi67tFycbJ3wWYvPcGXCFQyvOxxzj85FraW1sP/Sftml6W3s2LGySyCVYK8pQFoasGcP0L277EryxF4jJWFAVpEdF3bA1c8VFb+tiPTMdGzusRnz2szDGxXekF1anko4l8DX7b7G2ffOorxreXT6oRM6/dAJ0YnRsksrsLZt28ougVSCvaYABw8CDx4A77wju5I8sddISRiQVeJx2mOM2jsKJZxLoGHphvih+w/wcPGQXVa+VHWril8G/IKdvXbi7O2zqLW0FhaFLEJmVqbs0oiIjGfHDqByZeB18/tJH5FScRULhbvz+A7WnF6DqPgo3E+9j5MjT6K8a3nZZRWYRqNBt+rd0KZiG0w7OA0TD0zE9r+2Y13Xdaj4WkXZ5RERGVZGBvDjj8CwYYBGI7saItXgCLKCZemy8Ob6NzH116lYfXo1JjZU/1tFAAAgAElEQVSaaNHh+L9c7F3g39Efvw3+DTce3ECd5XWwMmIlLGXfm8DAQNklkEqw1yzcsWNiYxAzn14BsNdIWRiQFWx31G6c/ecsfn73Z4SPDIdfGz/ZJRlc83LNcWb0GfSp2Qcj9oyAdrMW8Unxsst6qU2bNskugVSCvWbhtm8HypQB6teXXclLsddISRiQFejXK7+i/87+GLt/LFqUa4F2ldvBx90HGoX+eM7F3gXfab/D7j67EXIjBD4rfBB6I1R2WXnasmWL7BJIJdhrFiw9Hdi6Fejb1yKmV7DXSEkYkBUmPikeb296GxvPbkRCSgJmt5otuySTebvq2zg16hRKFy6N5muaY+mJpRYz5YKIKJegIDG94t13ZVdCpDq8SU9hns7D/WfSP3B1cIWtta3skkyqTOEy+G3wb5gUNAlj9o/B79d/x4rOK+Bs5yy7NCKi/NmwAahZE6hdW3YlRKrDgKwQh68exrGYY1gYshD9Xu+H4s7FZZckjZ21Hb7t8C0al2mM4XuG4/St09jZeye8ipnvDlRERDk8fChWr5g+3SKmVxApDadYKEB0YjTafN8GM47MQGpmKiY2mii7JLPQ9/W+ODHiBDJ1magXUA87LuyQXVK2IUOGyC6BVIK9ZqECA4HkZDH/2EKw10hJGJAVYFXEKjjbOuPaB9dwY+INs9w2WpYaxWsgbHgYOlTpgB7bemBS0CSkZ6bLLos7TpHJsNcs1MaNQIsWQLlysit5Zew1UhIGZAuWmpGK+yn3serUKvSv3R+eRTzxmuNrsssyOy72LtjcfTMWtluIRaGL8Ob6NxH3ME5qTX0taFSILBt7zQLFxgK//GJxN+ex10hJGJAt1K1Ht1BhUQW4+rki7lEcRvqOlF2SWdNoNJjQaAKODDqCywmXUXdFXfwW/ZvssoiIclu9GnBwAPr0kV0JkWoxIFuotafX4vbj2xjhMwLbem6Ddylv2SVZhKaeTXFq1CnUKF4Db65/EwuOL+BScERkPrKygJUrRTguXFh2NUSqxYBsgXQ6HdacXoO+tfoi4O0A9KjRQ3ZJFqWEcwkEDQjC5CaTMeXXKeizow8epz02aQ3BwcEm/TxSL/aahfnlF+DaNWCk5f1UkL1GSsKAbEF0Oh0CIwMx/fB0XLx7EUO8ecdwQdlY2eCrNl9hR68d2HdxHxqvaozL9y6b7PPnz59vss8idWOvWZiAALHucYMGsivJN/YaKQkDsgXZcGYDum3phrnH5qJJ2SZoXaG17JIs3jvV30Ho8FCkZKSg/nf1ceDvAyb53M2bN5vkc4jYaxYkLg7YvVuMHlvg2sfsNVISBmQLsjhsMdpWaovfBv+GA/0PwErD/3yGULNETYSNCEOTsk3QYWMHzAueZ/R5yU5OTkY9P9FT7DULsno1YGtrcatXPMVeIyXhTnoW4krCFZyIPYGtPbaiRbkWsstRHFcHV+zuuxszj8zEtIPTEB4XjjVd1qCQXSHZpZERpWSkIO5hHGIfxmY/4pPi8SjtER6lPcLDtIfZv07JSIGNlQ1srW3FVyvb7F872zqjmGMxFHMqlv3VzckNJZxLoFyRcnCxd5F9qWTu0tKAJUuA/v0BV1fZ1RCpHgOymbubdBcrI1ZiV+QuONo4omOVjrJLUiwrjRVmt54NH3cfDNg1AI1WNsKu3rtQpVgV2aWRnpLSk3Dm9hlExEXgwp0LuHj3Ii7evYiY+zHQ4d+fFjjYOKC4U3G42LugkF0hFLIrBBc7F5QpXAb21vbI1GUiPSsd6ZnpyMjKQHpWOpLSk/DP439wMvYk7ibfxd2ku8jUZeb4/GKOxVDhtQqo4Prk8eTXVd2qwrOIJ38aRMDmzWKKxUTuhEpkDhiQzdys32ZhcdhiAMDc1nPhbOcsuSLl61qtK8KGh6Hrlq6o/119/ND9B4N/YzJ58mQsWLDAoOckISMrA6fiTuFYzDFExEXg1K1TiIyPRJYuCzZWNqharCq8inmhT60+qFK0Csq5loOHiwc8XDxQxL4INHrO/dTpdHiQ+gB3k+/i1qNbiE6MxtWEq7iaKB4nY08i5n5Mdoh2tnVG9eLVUaN4DdRwqwHvUt7w9fCFm5ObIf442GuWQKcDvv4a6NgRqF5ddjUFxl4jJWFANmOP0x5jZcRKzGg5A31r9YVXMS/ZJalG9eLVETY8DAN2DUDnHzpjTus5mNZ8msFG+jw9PQ1yHgKydFk4FXcKh6MP40j0ERyLOYYHqQ/gaOOIOqXqoFW5VpjYaCJ83H1Qs3hN2NvYG7UejUaDIg5FUMShCCq+VhFNyjbJ9ZqMrAxcv38dkfGRuHDngnjEX8Cuv3bhYdpDAIBnEU/U86gHX3df8ShgaGavWYBDh4AzZ4BvvpFdiV7Ya6QkGh13SQAAREREwNfXF+Hh4fDx8ZFdDgBg51870X1rd1wadwmVi1aWXY4qZemyMPu32Zj12yx0q9YN67qu43xSM5CcnoyDVw9id9Ru7Lm4B7ce3YKjjSOaejZF6/Kt0ap8K9T3qA9ba1vZpeZLli4LVxKuIDw2HCdjTyI8LhwRcRG4n3ofAFCuSDn4eojAXM+jHup71Of28krQsaPYXvrUKYtcvYLIlEyV1ziCbIZuP7qNA5cPYP2f61G7ZG2GY4msNFaY2WomfNx90H9nfzRc2RC7eu9CVbeqsktTnX8e/4N9F/dh98XdCLochKT0JFQuWhnvvv4uOnt1RuMyjY0+OmxsVhorVC5aGZWLVkbvWr0B/BuaT8aeRHhsOMLjwjH/+Pzs0FylaBU0KN0g++FdyhsONg4yL4Py49Qp4KefgPXrGY6JzAgDshkasWcE9lzcAwDY3nO75GoIALRVtQgbEYZuW7qhwcoG2NBtA96u+rbsshQvMSUR2y9sx4YzG3D02lEAQJOyTTCj5Qxoq2pRtVhVvecMm7v/huY+tfoAEKH573t/48TNEwi7GYaw2DBsv7AdqZmpsLWyRe2StdGwdMPs0FzVrSpvBDRXM2cCVaoAffvKroSI/oMB2cxExUdhz8U9WN5puZh/6OEruyR6oppbNYQOD8XAXQOh3azFrFaz8FmLzwoUPCIjI1GtWjUjVGn50jLT8NOln/D9me+x5+IeZGRloE3FNlipXYnOXp1RwrmE7BKls9JYwauYF7yKeeHd2mLN3LTMNJy9fRahN0MRdjMMh6MPY9nJZdDd0cGltAvql66PBh7/jjSXLlxa8lUQwsPFxiDr1wM2lv/PMf9eIyXhHOQnzGUOsl+wH2YfnY34yfFwtHWUVge9WJYuC3OPzsWMIzPQrlI7rO26FqUKlcrXObRaLXbv3m2kCi1TZHwkVpxcgfVn1uNe8j3ULVUX/Wv3R99afeHu4i67PIt0P+U+OnTuAO1MrRhpvhmGmw9vAgA8XDxEWH4Smut51EMRhyKSK1aZt98GLl0Czp1TREDm32tkCpyDrDIpGSlITEnEuj/XoVOVTgzHZsxKY4XpLaejQekGGBQ4CHWW18GaLmvytRScv7+/ESu0HKkZqdgVuQvLTy7Hb9d+g5uTG4bVHYZBdQahZomassuzeEUcimDz6s05Vhe4+eAmTsSeyA7M847Pw4PUBwDET0n+G5prl6xt8fO6zVZYGLB3L7BxoyLCMcC/10hZOIL8hMwR5CxdFjpu7IgDlw8AAI4OPorm5ZqbtAYqmNuPbmPIj0Pw098/YULDCZjXZh5vkHoFVxKuICA8AKtPrcadpDtoWa4lRtcbjW7VujGQmViWLgsX717MDsxhN8Nw+tZppGelw1pjjSrFqqBWiVqoWbwmahaviVolaqFy0coWt0KIWdHpgFatgPh4sbybtbXsiogsBkeQVSTochAOXD6Awd6D0bNGT4ZjC1KyUEns67cPi8MWY/Ivk3E4+jA2dNuA10u+Lrs0s5ORlYE9UXuwPHw5gi4HwdXBFYPqDMIo31GoXtxyN0ewdFYaK1Rzq4ZqbtUwsM5AAGJk//St0zh96zTO3zmP83fOY9nJZfjn8T8AABsrG5R3LY9Kr1VC5aKV//1atBLKFC6DwvaFZV6S+duxAzh6FPj5Z4ZjIjPFgGwGNp7diGpu1bBau1rxd+QrkUajwfiG49GqfCv029EPvgG++LT5p5jWfBrsrO1klyfd9fvXsTJiJVaeWonYh7FoVKYR1nZZi541e8LJ1kl2efQc9jb2aFimIRqWaZjjeHxSPM7/cx4X7lzA5YTLuJxwGb9d+w2rT61GckZy9usK2RWCh4sHSruURunCpeFRyAPFnYvjNYfXUNSxaPbjNcfX4GLnAgcbB9hZ2xX47z+dToeMrAykZqYiJSMFyenJSM5IRnJ6MpLSk5Cc8eTrk+NPf/30uVyvy+O9Op0O9jb2sLe2h4ONA+xt7FHYvjCKOxUXD+fiKFWoVPbKI55FPGFj9Z9/apOTgUmTgM6dgXbtCnS9RGR8DMiSJaUnYddfuzC16VSGYwtXu2RthI8Mx9yjczHn6BzsjNyJ1drVz12JxM/PD1OnTpVQpWlkZmXiwOUDWH5yOfZd2gcnWyf0f70/RtUbBe9S3rLLUxVD9pqbkxtalm+JluVb5jiu0+kQ9ygOl+9dxs2HN3HzwU3x9eFNRCdG43jMcdxNvps91/l5NNDAwcYhx+PpCjE66LI/5+nvUzNEGH4airN0Wa98HVYaKzjZOsHRxlF8tXXM8WsnWye4ObmJX9v8+7yjrSM00CA1MzXH5yemJCI+KR6XEy7jzuM7uP34NjKyMgAge3vzeh71UM+jHrrtuACP2FhogoLy9WdvCZT+9xqZh8TkRJN8DgOyJJlZmfgo6CP8GPUjHqc/Rr/X+8kuiQzA3sYec96Yg3eqv4Ohu4eiwcoGGFN/DGa3ng1XB9fs1yUlJUms0nhuPbqFVRGrEBARgJj7MfAu5Y1lnZahb62+3IFQElP0mkajgYeLBzxcPPJ8XUZWBhJTEnEv+R4SkhNwN/kuHqc9RkpGSo5HckYyUjJS8N9bZJ4OIGggvtrb2GcH6aejuU9HdB1sHPIMwLZWtkYdkHi6lfile5dw6e4lnP3nLE7GnsTvRzdiiH8GljZywJE/P0WHxx3QtVpXFHUsarRaTEmpf6+RfDqdDsdijmFF+Aps/XWrST6TN+k9Yeqb9H44+wPe3fkuXi/xOobVHYYJjSYY/TPJtNIz07EodBFm/TYLjjaOmNdmHgZ7D1bchg1ZuiwcvnoYy8OXIzAyELZWtuhTqw9G1xuN+h71+ZMRIgDQ6ZD15htIu/gX/rdiEPbfOobQm6Gw0lihbaW26FurL3rU6MGbfIn+427SXaz/cz0CIgIQGR+JKkWroGOhjlg0dJHR8xoD8hOmDsgdNnbAo7RHODbkmNE/i+SKfRiLqb9OxYYzG+Dr7osv3vgCbSu1tfjgeP3+daz7cx3WnF6DKwlXUKN4DYz2HY0BdQbkGC0nIgDffQeMHAkcOAC0bQtA/MRl+4Xt2HJ+C4JjguHm5IYRPiPwXr33ULZIWckFE8nxdLQ4IDwA2y9sR5YuC+9UfwejfEehVflWOHXqlEnyGgPyE6YMyLcf3YbH/3lgacelGFVvlFE/i8xHcEwwpvwyBX/c+APNPZvjize+sLgVS1IyUvBj5I9YfXo1frn8CxxtHdGrZi8M9R6KZp7NLD70ExnF9etAzZpAr17AypXPfcnFuxex9MRSrDm9BknpSRhcZzA+a/EZyrmWM3GxRHLcS76HdafXZY8WVy5aGSN9RmKw92AUdy6e/TpT5TUG5CdM8Qeu0+mw79I+LD8plrm6NemWYuae0avR6XTYf2k/Pt7zMc49OodW5VthYqOJ6OzV2WynXmTpshB6IxQbz27ED2d/QEJKApqWbYqhdYeiZ42enFts5uLj4+Hm5ia7DPXKyADefBO4fFnsmOea909XHqU9QkB4AOYFz0NiSiJG+IzAzFYzcwQEc8Veo/zS6XQIjglGQEQAtp3flj1aPNJ3JFqVb/XcfxdNFZDN819khVp2chne3vQ29l3ah89bfM5wrEIajQadvDqh/G/lsb3ndqRkpKDL5i6o6l8Vi0MXIyE5QXaJAEQo/uP6H5j480SUW1gOTVY3wa7IXRjl+//t3XlcVNXfB/DPDPumLCICKoIsKqi4ZCjqg7mbov1UNEsUfNR6MrdfPxPTx36mT2qobVZS/lzLDcXSTBMLU2QREdfMQlE2FwTZ97nPH7cZZmAQkGUG+Lx73ddczj33zpnpeOY7Z849Zz5uvXUL5wPPI7BPIIPjZiAwMFDTRWjd/vd/gchIYN++GoNjQJwib+nApbiz6A7WDFuD765/B7fP3fBV3Fcol5U3QYGfH+sa1VZmYSY+if4EHl96YOjOoYhKjsKaYWuQsjQF+6fsx0uOL2m804g9yH9r7G8kMkEGt8/d4NnBE5+P/Rw2pjYN/hzUfMTHxyvqWXRKNLZEb8Hhm4ehI9WBr5svZvaaiVFdRzXpDTvZRdkIvxOOE3+ewE9//YT0vHR0MO2AKd2nwM/dD96dvTXeYFHdKdc1amI//QSMGwesXw885/Rnj/MfY3n4cvwn4T/ob9cf2323o5dNrwYuaMNgXaNnEQQBkcmRCLkUgkM3D6FMVoZXur2C+f3mY5jjsFp/vnCIRRNr7Dc88n4kBu8YjF9n/QqfLj4Nfn1q/tJy07Dv2j7suboHVx5egbGeMUY4jcA453EY5jgMLpYuDTrG90nBE0QmR+LcvXM4n3wecWlxKJOVoYd1D4xzHocJbhPg3ckbOlKu9EVUZ7dvAwMHAl5ewLFjgLR+Xy6jkqMw//h8/PHkD6wdthZLBy7lv01qFrIKsxQzUdx8fBNOFk6KscXP01nIALmJNeYb/iDvAd468RZiUmJwf8l99sJRjW48uoHjt4/jxF8nEHk/EuVCOSwMLfBixxfR26Y3XCxd4GLlgk5tOsHK2Apm+mZVgudyWTlyinPwuOAx7j29h3vZ95CYmYhrj67h6sOrSM5JBgDYm9ljiMMQDO08FGNdxqKLeRcNvGKiFuTxYzEwNjAQh1dYWDTIZYvLirHyl5XYFLUJQx2GYs8rezjbBWklQRBwIfkCQuJDcPDGQUVv8bx+8+o9fKKpAmQuFNLI1p9fj6AzQQCAbeO3MTimWnFv7w739u54d/C7yC7KRkxqDGJSYhCdGo391/fjfvZ9xepiAKAn1YOJvgkkkEAikaC0vBS5Jbkq15RAgo5tOsKjvQde6/kaetn0wqBOg9C5bWfOPkHUUAoKAF9fID8fOHOmwYJjQFwc5aNRH+Fl15fhH+aPfiH9FOM1ibRBVmEW9lzdg5BLIbjx+AacLJyw+r9WI8AzoNkNLWWA3IgyCjKw5uwaTPeYjrdeeAvenbw1XSTSEtu3b8ecOXNqlbetYVuM6joKo7qOUqQVlRXhTtYdpOakIrMwU7EimQABgiBAR6oDc0NzmBuaw9LIEg5tHdCpbSfo6+g31ksiLVWXukb1VFgITJoEXL0KnD0LdOnSKE/j08UH8fPj8erhVzFyz0isH74e7wx6R+NfdFnXWidBEBCVEiWucvd3b/GkbpOwZfQWDHca3mw7BhkgN6J91/ahVFaKz8Z+hnbGnPqGKsTHx9frg8RQ1xA9rHugh3WPBiwVtUT1rWtUS/Ke46go4Mcfgf79G/Xp2hm3w8nXTmLVr6uwLHwZLj+4jB0Td8BA16BRn/dZWNdal6dFT7Hnyh6ExIfg+qPrcDR3xOr/Wo3ZnrPRwbSDpotXbwyQG0lWYRY+jf0U413HMzimKrZu3arpIlArwbrWBLKygFdeAeLixJkrhg5tkqfVkerg/4b/H/p06IOZYTORlpuGsGlhsDBquGEddcG61vIJgoDolGiExIfgwPUDKJWVYqLbRGwetblZ9xarwwC5gckEGWYcnoEDNw5AKpHi0NRDmi4SERE1lsREYPx44NEj4ORJYPDgJi/CVPepsDOzw8T9E+H9H2+ceO0Eb7alBvW06Cn2Xt2LkEshuPboGrqYd8GqoasQ0CegRfQWq9NyQn0t8cMfP+DAjQNYMXgFEuYnwLODp6aLREREjeGXX8TZKsrLgehojQTHct6dvXFhzgUUlxfD6xsvXHlwRWNloZZB3lsc8H0A7DbZYfHJxXCxcsHJ104icWEigoYEtdjgGGCA3OA+j/0cXh29sG74OvS06anp4hARUUMrKwPeew8YMQLo3VsMjl1cNF0quFq5InpONDq26QifXT6ISYnRdJGoGcouysbW2K3w3OaJgdsHIiIpAiuHrkTykmQc9juM0c6jW9RQiuq0/FfYRJKeJuHj6I9x5u4ZLPVaqunikJbz9fXVdBGolWBda2DXrok9xRs2AOvWAadOAZaWmi6VgrWJNc74n4G7tTtG7BmB3+791mTPzbrWfAmCgJiUGAR+HwjbTbZYdHIRulp0VfQWrxiyArZmtpouZpPiGOQGEJMSA59dPigqK8IY5zGY3GOypotEWm7BggWaLgK1EqxrDSQvTwyIg4PF3uJz58SV8rRQW8O2OPX6Kfju98WYvWNwdPpRlWkiGwvrWvOTXZSNb699i22XtuHqw6twaOuA94a8h4A+AbAzs9N08TSKAXI9CYKAZeHL4GrlirBpYXA0d9T4XJSk/UaNavwPKyKAda3eSkqAkBDggw+A7Gxg9Wpg2TJAX7vnFDfRN8HxV49j6qGpmLBvAg5NPQRft8bt4WVdax4EQcDFtIvYFrcN+2/sR3FZMSa4TcCGERsw0mkklzD/GwPkejqVeAq/3fsNx149BicLJ00Xh4iIGkJ2NrB9O/DJJ0BKCuDvD7z/PuDgoOmS1ZqRnhGOTDuCGYdnYPLByTg45SBe6f6KpotFGpJTnINvr36LkPgQJDxIQOe2nRE0OAiBfQJbfW+xOlo5BrmkpATvvvsuOnbsCGNjY3h5eSE8PLxW56alpcHPzw8WFhZo27YtJk2ahLt37zZ4GSOSItD1064Y++1YDOsyDC+7vNzgz0FERE1IEID4eGDRIqBTJ2D5csDHR1wZb8eOZhUcy+nr6GPf5H2Y3H0y/EL9EHozVNNFoiYkCAIupl7Ef//w37DdZIu3f3obDm0dcGLGCdxZeAcrh65kcFwNrQyQ/f398fHHH+P111/Hp59+Cl1dXYwbNw4XLlx45nn5+fnw8fHBuXPnsHLlSqxZswaXL1+Gj48PsrKyGqx8WYVZmBY6DdbG1tg2fhuOvXqMwyqoTo4eParpIlArwbpWA0EQA+B16wAPD6BfP2D/fmDBAiApCdi1C3B313Qp60VPRw97/7EXfu5+mB46HQeuH2iU52Fd0x7ZRdn48uKX6BvSFwO+GYCfE3/Gcu/luLf4Ho5OP4qxLmM5lKIGWjfEIjY2FgcPHsSmTZuwZMkSAMDMmTPh4eGBZcuW4fz589Weu3XrViQmJuLixYvo27cvAGDMmDHw8PDApk2bsHbt2nqVTRAE3H16F6sjVqOgtABh08Ka912dgiAuj5qdDdy/L05dlJsL/PUXUFQkjr27d0/MIwhAerq4r6sLPHki7hsYiDevFBUBRkbiOcXFYh5dXUAiEfMYGgImJoCxMdCmjbiZmak+VpdmZSX+3YK+hGzYsAGTJk3SdDGoFWBdUyMlRVwS+vRp4MQJIDVVbJ8mTgQ2bRKnb9PVuo/HetGV6mL3pN3QkehgxpEZKBfKMaPnjAZ9DtY1zRIEAbGpsQi5FKIYWzzedTzWDluLMc5jGBDXkda1AKGhodDV1cXcuXMVaQYGBpgzZw7ee+89pKamwt7eXu25hw8fxgsvvKAIjgHAzc0Nw4cPx8GDB+sVIBeUFuCVA6/g58SfIYEEuybt0t7guLxcDFQLC4GYGDHIzcoCkpPFHpHsbODBA3FfJqt6vr6+GMjq6oo/KZqaigGyra34IVJWBgwYIO4XFYnHDQ3F59PXFwPisjJxEwQxYC4sFLf8fDEIz8wUnz83F8jJER9zc8X86ujrA+3aAdbWFY+V95X/trICdLS3MbC2ttZ0EaiVaNV1TSYT278bN4Dr14HLl8XAODlZPO7mBvj5AePGAUOGiG1XC6Yj1cGOiTugI9XBzLCZkAkyvN7r9Qa7fquuaxr0tOipYmyxfCaKoMFBCPAMgH0b9fES1UzrAuSEhAS4urrC1NRUJX3AgAGK4+oCZEEQcPXqVcyZM6fKsQEDBuD06dPIz8+HiYlJnctUUFqAOT/Mwbl757Bv8j4M7DgQDuYaGosmk4kB56NH4li5vDwx2IyJqQg0L14Ug1E5HR3A3Bzo0EGcnsjFRVz9ycWlope2Uyfxw8HICOjYUTPBpUxWEUDn5FRsT54Ajx+LW0aG+PjwofiBJ08rL1e9lkQCWFhUBMvyzdLy2fvGxk3/uomo7gRBbC/kbUJKihgMy7ekJOD2bTEPIP4K1asXMG0aMGiQOEVbh5a7Clh1dKQ62O67HToSHfiH+aNcVo5ZnrM0XSyqI/kqdyHxIThw/QBKykvg6+bLmSgakNYFyOnp6bC1rdoza2trC0EQkJaWpva8zMxMFBcXV3suIN7A51KH1Y7OJp3F/5z4H9x8fBM6Eh3sm7wPU92n1vr8OikqEnt2CwvFIQ7p6WIPrLzRf/hQfLx5s2owqKcH9O8vBoMdOgBr1oi9vbq6QN++gLNz8xieIJWKH2JmZoBdHW4akMnE9045gFbef/JE3G7frtjPzFTfe25oWBEsVw6gLS3FspmaPnszNGwe77cmlZeL9bu0tOqmLellZRXllUgq/p8+z76OjvjvUfmxNvu1yVvTlpYGHDny7Dy1uZ5U6ZYV5V96arNfXi6+pyUlVd935bSSEnHoVl5exZabq7qfmVnxb7yoSLVeGRqKv3o5OIht4owZ4rhid3fxiz//XQIApBIpQiaEQEeig4DvA1AulCOwT6Cmi0W1kFWYhT1X9yDkUghuPL4BR3NHrBq6CrM9Z2vvr9rNlNYFyFoG3xMAABF4SURBVIWFhTBQ8zOXoaGh4nh15wF4rnOVnT+xDWfOZiItJwWxKTHwad8LG7suh3u7HuiS0R749Vex4RcEMcCq/FhWptqoV27cq3vMyVFfIGtrsbG3tRV7PN54Q+zxNTcXPwDMzcXhB1KtvN+yaUilYm+xhQXg6lq7c2Syit5pecBc3f79++J+Vpb4/6ryFxR15TExET+sDQzETT70RL7/++/A+PEV6fr6FUFIbR/l+/JARF4v5Vtd0uR1V90mD2Zrm64u0KwcFFU3lKY+5IGenp7qpi5NXbp8aJHycYlE/XtX1/3y8or3q6SkYl85vaZ95b8rp8s3dV/6AGByM1q8SCKp/sunuTnQtav6oVb29uI+g+BakUqk+HL8l9CR6mDOD3NQJivDvH7zNF0sUkMQBEQmRyLkUggO3TyEMlkZJnWbhC2jt2C40/BWseyzJmhdgGxkZITi4uIq6UV/9xQYGRlVex6A5zoXqAierVaFoPvfaTMBAFcAXEEmgMzavAA5iUQMkoyMxA/dypuFRcW+kZH4d9u24od0x45A+/ZiAKSnV/1zpKWJG9WPrq74frdvX3NeQRADvIICsbe/oKD6fXnPWOUestJSxObmIj4vTzVoLC+vCKZq+yiTqQYE8p5L5R7Myunyvyun17WHUh7UK58jD9rlN2kq94TKA9LKadXlfVaaujyt+UuinPyLukymqB+x//gH4vfvV0lT2a8uTd3xynVK3b4yebq8LatcD9Rtz/MLjCCIv7alpNTtPMKcDnOQaZmJ+SHzcXfw3Xr9ShobG4v4+PgGLF3rll2UjeN/HseR348gKSsJ9m3sMbfbXExwmwArYysgG0i4nKDpYja533//HUDtOj3rQ+sCZFtbW7XDKNLT0wEAdtX89G5paQkDAwNFPnXnqht+IZeUlAQAaLDbFQShoueYSI1+Z89qugjUSvQbPlzTRaBmYH3IeqzH+npdo1+/fg1UGqosFan47O//SIzbvL29G+36Whcge3p6IiIiAnl5eSo36kVHR0MikcDT01PteRKJBD179kRcXFyVYzExMXBycqpy45+y0aNHY+/evejSpcsze5qJiIiISDMKCwuRlJSE0aNHN+rzSAShMQYDPr/Y2Fh4eXkhODgYS5cuBSCurOfh4QFra2tERkYCAJKTk1FQUAA3NzfFuRs3bkRQUJDKPMh//PGHYg7ldevWNf0LIiIiIqJmResCZACYNm0ajh49isWLF8PZ2Rk7d+5EXFwcfvnlF0V3uo+PD3777TfIlG5KycvLQ58+fZCbm4t33nkHurq62LJlCwRBwOXLl2FlZaWpl0REREREzYTWDbEAgD179mDVqlXYu3cvsrKy0KtXL/z4448qY00kEgmklW7KMTU1xdmzZ7FkyRKsW7cOMpkMw4YNw+bNmxkcExEREVGtaGUPMhERERGRprT6eZFKSkrw7rvvomPHjjA2NoaXlxfCw8M1XSxqxs6ePQupVFpl09HRQWxsrEreCxcuYPDgwTAxMYGtrS0WLVqEfPnKX0RK8vPzsXr1aowdOxZWVlaQSqXYvXu32ry3bt3CmDFjYGZmBisrK/j7+yMjI6NKPkEQsHHjRjg5OcHIyAi9e/fG/v37G/ulkJarbV0LCAhQ29b16NGjSl7WNaosLi4OCxYsgIeHB0xNTeHg4IBp06bhzz//rJJXE22aVg6xaEr+/v4ICwvDkiVLFOOdx40bh4iICAwaNEjTxaNmbPHixejfv79KmrOzs2I/ISEBI0aMQI8ePbBlyxakpKTgo48+wl9//YUff/yxqYtLWi4jIwMffPABHBwcFLP9qJOamoohQ4bAwsIC69evR25uLj766CNcv34dsbGx0NWtaPaDgoKwceNGzJ8/H/3798f333+PGTNmQCqVws/Pr4leGWmb2tY1QFyIa/v27VD+Mbpt27ZV8rGuUWUbNmzAhQsXMHXqVPTq1QsPHjzAZ599hr59+yImJkbxRUtjbZrQisXExAgSiUTYvHmzIq2oqEhwdnYWvL29NVgyas4iIiIEiUQiHD58+Jn5xo4dK9jb2wt5eXmKtG+++UaQSqXC6dOnG7uY1MyUlJQIDx8+FARBEOLi4gSJRCLs2rWrSr4333xTMDExEVJSUhRp4eHhgkQiEb7++mtFWmpqqqCvry8sXLhQ5fyhQ4cKnTt3FmQyWSO9EtJ2ta1rs2fPFszMzGq8HusaqRMVFSWUlpaqpP3555+CgYGBMHPmTEWaptq0Vj3EIjQ0FLq6upg7d64izcDAAHPmzEFUVBRSU1M1WDpqCfLy8lCuZmnq3NxchIeHY+bMmTAxMVGk+/v7w8TEBAcPHmzKYlIzoKenh/a1WO3xyJEjGD9+POzt7RVpw4cPh6urq0q9Onr0KMrKyvDmm2+qnP/mm28iJSUFUVFRDVd4alZqW9fkBEFA3jMWxWJdI3W8vLxUen8B8VdWDw8PxWp5gObatFYdICckJMDV1bXKAiIDBgxQHCd6XgEBAWjTpg0MDQ3x0ksv4dKlS4pj165dQ1lZWZVVp/T09ODp6YnLly83dXGpBUhLS8OjR4+qDO0BxHZNuV4lJCTAxMQE3bp1q5JP+HtqTKKaFBQUwMzMDG3atIGVlRUWLFhQ5T4K1jWqi4cPH6Jdu3YANNumteoxyOnp6WqXn7a1tYUgCGqXvCaqib6+PqZMmYJx48ahXbt2uHnzJoKDgzFkyBBERUWhd+/eSE9Ph0Qiqbb+nT9/XgMlp+YuPT0dAKqtV5mZmSgtLYWenh7S09NhY2OjNh8Atn9UIzs7Oyxbtgx9+/aFTCbDyZMn8cUXX+Dq1auIiIhQTMXKuka1tXfvXqSmpmLt2rUANNumteoAubCwEAYGBlXSDQ0NFceJ6mrgwIEYOHCg4u/x48dj8uTJ6NWrF4KCgnDixAlF3aqu/rHu0fOoqV7J8+jp6bH9o3qrvDqtn58fXFxcsHLlSoSGhipuimJdo9q4desWFixYAG9vb/j7+wPQbJvWqodYGBkZobi4uEp6UVGR4jhRQ+jatSsmTpyIX3/9FYIgKOpWdfWPdY+eR031SjkP2z9qDEuWLIFEIlGZLpV1jWry6NEjvPzyy7CwsMChQ4cgkUgAaLZNa9UBsq2traL7Xpk8zc7OrqmLRC1Yp06dUFJSgvz8fMUwnurqH+sePQ/5T4nV1StLS0vo6ekp8j548EBtPoDtHz0fQ0NDWFlZITMzU5HGukbPkpOTg9GjRyMnJwcnT55Ehw4dFMc02aa16gDZ09MTt2/frnL3bXR0NCQSCTw9PTVUMmqJEhMTYWhoCFNTU3h4eEBXVxdxcXEqeUpLS5GQkMC6R8/Fzs4O1tbWVeoVAMTGxqrUK09PTxQUFODWrVsq+dj+UX3k5eUhIyMD1tbWijTWNapOcXExJkyYoJj/383NTeW4Jtu0Vh0gT5kyBWVlZQgJCVGklZSUYOfOnfDy8lKZUoSottSt7nPlyhUcO3YMo0ePBgC0adMGI0aMwN69e1Xu+N69ezfy8/M5cT49t8mTJ+P48eMq01SeOXMGt2/fVqlXEydOhI6ODr744guV87/66ivY29tzoSR6puLiYrVTu61ZswYAMHbsWEUa6xqpI5PJ4Ofnh+joaISGhipmEKtMU21aq75Jb8CAAZg6dSqCgoLw8OFDxUp69+7dw44dOzRdPGqmpk2bBiMjIwwaNAjt27fHjRs38PXXX8PU1BQffvihIt+6devg7e2NoUOHYt68eUhJScGmTZswevRojBw5UoOvgLTV1q1b8fTpU8UHxQ8//IDk5GQAwMKFC2FmZoYVK1YgNDQUPj4+WLRoEXJzcxEcHIzevXtj9uzZimvZ29tjyZIlCA4ORklJCV544QWEhYUhMjIS3333nWIMILVONdW1zMxM9OnTB6+++qpiWq2TJ0/ip59+wrhx4+Dr66u4FusaqbN06VIcO3YMvr6+yMjIwLfffqty/LXXXgMAzbVpdVpWpAUqLi4Wli1bJtjZ2QlGRkbCiy++yFXMqF4+++wzwcvLS2jXrp2gr68v2NvbC7NmzRISExOr5I2MjBQGDx4sGBsbCzY2NsLChQtVVtYjUtalSxdBKpWq3e7du6fId/PmTWHMmDGCqampYGlpKfj7+wuPHj1Se83169cLjo6OgqGhodCzZ09h3759TfVySIvVVNeePn0q+Pv7C66uroKpqalgZGQk9OzZU9iwYYNQVlam9pqsa6TMx8en2jomlUpV8mqiTZMIgtIC6kRERERErVyrHoNMRERERFQZA2QiIiIiIiUMkImIiIiIlDBAJiIiIiJSwgCZiIiIiEgJA2QiIiIiIiUMkImIiIiIlDBAJiIiIiJSwgCZiIiIiEgJA2QiIiIiIiUMkImIiIiIlDBAJiIiIiJSwgCZiKiZ27BhA3r06NEo1/7qq6/g4OCA0tLSRrk+EZE2YoBMRNSM5ebmIjg4GMuXL2+U6wcEBKCkpATbtm1rlOsTEWkjBshERFooLCwMWVlZNebbvn07ysrKMH369EYph4GBAWbNmoXNmzc3yvWJiLQRA2QiIi1TWFiI6dOnIy0trca8O3fuhK+vL/T19RutPH5+fkhKSkJERESjPQcRkTZhgExEpGViY2NhYmICd3f3Z+ZLSkrC1atXMXLkSJX0999/H1KpFImJiZg9ezYsLCxgbm6OwMBAFBUVqeTNy8vD4sWL4ejoCENDQ9jY2GDUqFFISEhQ5Onbty8sLS3x/fffN9yLJCLSYrqaLgAREamKjIzEoEGDasx34cIFSCQS9OnTRyVdIpEAEHt+nZycsH79esTHx+Obb76BjY0NPvzwQ0Xe+fPn48iRI3j77bfRvXt3PHnyBJGRkfj999/h6empyNe3b19ERkY20CskItJuDJCJiLTErl27EB4ejlOnTsHZ2Rn+/v4IDAyEj4+P2vy3bt0CADg6Oqo93q9fP4SEhCj+zsjIwPbt21UC5BMnTmDu3LnYuHGjIu2dd96pci0nJyfs3bv3eV4WEVGzwyEWRERaYtasWdizZw/Ky8sRHByM3bt3VxscA8CTJ0+gq6sLY2PjKsckEgnmz5+vkjZkyBA8efIEeXl5ijRzc3PExsYiPT39mWWzsLBAYWFhlSEaREQtEQNkIiItcv36deTn56Nfv371vlbnzp1V/rawsAAAldkxNm7ciGvXrqFTp0548cUX8e9//xt3796tci1BEABUDN8gImrJGCATEWmRyMhI9OnTBwYGBjXmtbKyQllZGfLz89Ue19HRUZsuD3YBYOrUqbhz5w4+//xz2NvbIzg4GO7u7jh16pTKOVlZWTA2Nq5VuYiImjsGyEREWuTcuXO1ukEPALp16wYAant868LGxgZvvPEGjhw5grt378LKygrr1q1TyXP37l107969Xs9DRNRcMEAmItIikZGR8Pb2BgB89913SElJqTbvwIEDIQgC4uLinuu5ZDIZcnJyVNLatWsHOzs7FBcXq6THx8fXOnAnImruOIsFEZEWycjIQPfu3ZGXl4fExETMmDGj2ryOjo7w8PBAeHg4Zs+eXefnys3NRceOHTFlyhT07t0bpqamOH36NOLi4lRWzrt06RIyMzMxadKk53lJRETNDgNkIiItEhQUhE8++QR2dnb45z//WWP+wMBArF69GsXFxXUeH2xsbIy33noLP//8M8LCwiCTyeDs7Iwvv/wS8+bNU+Q7dOgQHBwcnjmjBhFRSyIRlO/WICKiZiUnJwddu3bFxo0bERAQ0ODXLykpQZcuXbBixQosWLCgwa9PRKSNOAaZiKgZa9OmDf71r3+pLPTRkHbs2AF9ff0qcyoTEbVk7EEmIiIiIlLCHmQiIiIiIiUMkImIiIiIlDBAJiIiIiJSwgCZiIiIiEgJA2QiIiIiIiUMkImIiIiIlDBAJiIiIiJSwgCZiIiIiEgJA2QiIiIiIiUMkImIiIiIlDBAJiIiIiJS8v+00EHpWKBnkQAAAABJRU5ErkJggg==",
      "text/plain": [
       "PyPlot.Figure(PyObject <matplotlib.figure.Figure object at 0x7f7ada7e9e10>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Try a factor of 10 smaller time step\n",
    "@time t = solveρ(lind_rk4, 0.01)\n",
    "plotsolution(t);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Super-operator Lindblad method"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "ename": "LoadError",
     "evalue": "OutOfMemoryError()",
     "output_type": "error",
     "traceback": [
      "OutOfMemoryError()",
      "",
      " in .*(::Complex{Float64}, ::Array{Complex{Float64},2}) at ./arraymath.jl:70",
      " in expm!(::Array{Complex{Float64},2}) at ./linalg/dense.jl:227",
      " in #slind#91(::Array{SparseMatrixCSC{Complex{Float64},Int64},1}, ::Array{Function,1}, ::Function, ::Float64, ::SparseMatrixCSC{Complex{Float64},Int64}) at /home/dressel/.julia/v0.5/QuantumBayesian/src/QuantumEvolution.jl:268",
      " in (::QuantumBayesian.#kw##slind)(::Array{Any,1}, ::QuantumBayesian.#slind, ::Float64, ::SparseMatrixCSC{Complex{Float64},Int64}) at ./<missing>:0",
      " in solveρsuper(::Float64) at ./In[12]:7",
      " in solveρsuper() at ./In[12]:2",
      " in execute_request(::ZMQ.Socket, ::IJulia.Msg) at /home/dressel/.julia/v0.5/IJulia/src/execute_request.jl:175",
      " in eventloop(::ZMQ.Socket) at /home/dressel/.julia/v0.5/IJulia/src/eventloop.jl:8",
      " in (::IJulia.##13#19)() at ./task.jl:360"
     ]
    }
   ],
   "source": [
    "@time t = solveρsuper()\n",
    "plotsolution(t);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Conclusions\n",
    "\n",
    "The pure state evolution is several orders of magnitude faster, since the matrix exponential can still be performed in memory. (Note that the slight decay observed in the pure state case is due to numerical error being accumulated by the state space truncation at larger photon number, which can be fixed by further increasing the size of the state space. This was not done here since the focus was on the dissipative part of the evolution that keeps the photon number better-bounded.) \n",
    "\n",
    "The jump/no-jump method produces the correct solution to good precision, even with course time steps of $\\Delta t = 0.1$ns. The explicit Runge-Kutta requires substantially smaller time steps to even converge to the correct solution, and is already half as fast as the jump/no-jump method when using comparable time step size. Even decreasing the time steps by a factor of 10 was not sufficient to prevent eventual accumulation of catastrophic imprecision, making run-time untenable. The super-operator method would be considerably faster since it is an exact matrix exponential like the Hamiltonian case, but it fails in the case of large quantum dimensionality due to the excessive memory consumption required to compute that exponential. \n",
    "\n",
    "Therefore, given realistic CPU and memory constraints on a single machine, the jump/no-jump method is clearly superior for such large dimensional systems."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Version information"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Julia Version 0.5.0\n",
      "Commit 3c9d753 (2016-09-19 18:14 UTC)\n",
      "Platform Info:\n",
      "  System: Linux (x86_64-pc-linux-gnu)\n",
      "  CPU: Intel(R) Core(TM) i7-4790 CPU @ 3.60GHz\n",
      "  WORD_SIZE: 64\n",
      "  BLAS: libopenblas (DYNAMIC_ARCH NO_AFFINITY Haswell)\n",
      "  LAPACK: libopenblas\n",
      "  LIBM: libm\n",
      "  LLVM: libLLVM-3.7.1 (ORCJIT, haswell)\n"
     ]
    }
   ],
   "source": [
    "versioninfo()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "v\"0.1.0+\""
      ]
     },
     "execution_count": 20,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "Pkg.installed(\"QuantumBayesian\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "v\"2.2.4\""
      ]
     },
     "execution_count": 21,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "Pkg.installed(\"PyPlot\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "v\"0.3.6\""
      ]
     },
     "execution_count": 22,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "Pkg.installed(\"Interpolations\")"
   ]
  }
 ],
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